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Finding the Fourth Proportional to 403.75, 557.24 and 229.20

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Solution

The fourth proportional to 403.75, 557.24 and 229.20 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.75 : 557.24 = 229.20 : x
  2. Step 2: Convert to fraction form
    403.75/557.24 = 229.20/x
  3. Step 3: Cross multiply
    403.75x = 557.24 × 229.20
  4. Step 4: Simplify right side
    403.75x = 127,719.41
  5. Step 5: Solve for x
    x = 127,719.41/403.75
  6. Step 6: Final answer
    x = 316.33

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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.