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Finding the Fourth Proportional to 402.39, 555.66 and 271.71

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Solution

The fourth proportional to 402.39, 555.66 and 271.71 is: 375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.39 : 555.66 = 271.71 : x
  2. Step 2: Convert to fraction form
    402.39/555.66 = 271.71/x
  3. Step 3: Cross multiply
    402.39x = 555.66 × 271.71
  4. Step 4: Simplify right side
    402.39x = 150,978.38
  5. Step 5: Solve for x
    x = 150,978.38/402.39
  6. Step 6: Final answer
    x = 375.20

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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.