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Finding the Fourth Proportional to 400.12, 552.14 and 223.10

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Solution

The fourth proportional to 400.12, 552.14 and 223.10 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 552.14 = 223.10 : x
  2. Step 2: Convert to fraction form
    400.12/552.14 = 223.10/x
  3. Step 3: Cross multiply
    400.12x = 552.14 × 223.10
  4. Step 4: Simplify right side
    400.12x = 123,182.43
  5. Step 5: Solve for x
    x = 123,182.43/400.12
  6. Step 6: Final answer
    x = 307.86

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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.