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Finding the Fourth Proportional to 402.24, 600.08 and 391.08

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Solution

The fourth proportional to 402.24, 600.08 and 391.08 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.24 : 600.08 = 391.08 : x
  2. Step 2: Convert to fraction form
    402.24/600.08 = 391.08/x
  3. Step 3: Cross multiply
    402.24x = 600.08 × 391.08
  4. Step 4: Simplify right side
    402.24x = 234,679.29
  5. Step 5: Solve for x
    x = 234,679.29/402.24
  6. Step 6: Final answer
    x = 583.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.