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Finding the Fourth Proportional to 402.38, 602.67 and 240.26

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Solution

The fourth proportional to 402.38, 602.67 and 240.26 is: 359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.38 : 602.67 = 240.26 : x
  2. Step 2: Convert to fraction form
    402.38/602.67 = 240.26/x
  3. Step 3: Cross multiply
    402.38x = 602.67 × 240.26
  4. Step 4: Simplify right side
    402.38x = 144,797.49
  5. Step 5: Solve for x
    x = 144,797.49/402.38
  6. Step 6: Final answer
    x = 359.85

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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.