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Finding the Fourth Proportional to 402.57, 604.08 and 229.37

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Solution

The fourth proportional to 402.57, 604.08 and 229.37 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.57 : 604.08 = 229.37 : x
  2. Step 2: Convert to fraction form
    402.57/604.08 = 229.37/x
  3. Step 3: Cross multiply
    402.57x = 604.08 × 229.37
  4. Step 4: Simplify right side
    402.57x = 138,554.81
  5. Step 5: Solve for x
    x = 138,554.81/402.57
  6. Step 6: Final answer
    x = 344.18

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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.