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Finding the Fourth Proportional to 800.17, 1,200.26 and 223.05

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Solution

The fourth proportional to 800.17, 1,200.26 and 223.05 is: 334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.17 : 1,200.26 = 223.05 : x
  2. Step 2: Convert to fraction form
    800.17/1,200.26 = 223.05/x
  3. Step 3: Cross multiply
    800.17x = 1,200.26 × 223.05
  4. Step 4: Simplify right side
    800.17x = 267,717.99
  5. Step 5: Solve for x
    x = 267,717.99/800.17
  6. Step 6: Final answer
    x = 334.58

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.