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Finding the Fourth Proportional to 400.19, 552.17 and 223.10

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Solution

The fourth proportional to 400.19, 552.17 and 223.10 is: 307.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 552.17 = 223.10 : x
  2. Step 2: Convert to fraction form
    400.19/552.17 = 223.10/x
  3. Step 3: Cross multiply
    400.19x = 552.17 × 223.10
  4. Step 4: Simplify right side
    400.19x = 123,190.85
  5. Step 5: Solve for x
    x = 123,190.85/400.19
  6. Step 6: Final answer
    x = 307.83

Related Problems

Find fourth proportional to 200.10, 276.08 and 111.55
Half scale
Find fourth proportional to 800.38, 1,104.33 and 446.21
Double scale
Find fourth proportional to 401.19, 553.55 and 224.10
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.