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Finding the Fourth Proportional to 403.71, 557.22 and 229.15

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Solution

The fourth proportional to 403.71, 557.22 and 229.15 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.71 : 557.22 = 229.15 : x
  2. Step 2: Convert to fraction form
    403.71/557.22 = 229.15/x
  3. Step 3: Cross multiply
    403.71x = 557.22 × 229.15
  4. Step 4: Simplify right side
    403.71x = 127,686.96
  5. Step 5: Solve for x
    x = 127,686.96/403.71
  6. Step 6: Final answer
    x = 316.28

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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.