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Finding the Fourth Proportional to 403.80, 557.25 and 229.15

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Solution

The fourth proportional to 403.80, 557.25 and 229.15 is: 316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 557.25 = 229.15 : x
  2. Step 2: Convert to fraction form
    403.80/557.25 = 229.15/x
  3. Step 3: Cross multiply
    403.80x = 557.25 × 229.15
  4. Step 4: Simplify right side
    403.80x = 127,693.84
  5. Step 5: Solve for x
    x = 127,693.84/403.80
  6. Step 6: Final answer
    x = 316.23

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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.