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Finding the Fourth Proportional to 402.46, 601.13 and 363.88

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Solution

The fourth proportional to 402.46, 601.13 and 363.88 is: 543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 601.13 = 363.88 : x
  2. Step 2: Convert to fraction form
    402.46/601.13 = 363.88/x
  3. Step 3: Cross multiply
    402.46x = 601.13 × 363.88
  4. Step 4: Simplify right side
    402.46x = 218,739.18
  5. Step 5: Solve for x
    x = 218,739.18/402.46
  6. Step 6: Final answer
    x = 543.51

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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.