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Finding the Fourth Proportional to 410.20, 614.59 and 271.29

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Solution

The fourth proportional to 410.20, 614.59 and 271.29 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.20 : 614.59 = 271.29 : x
  2. Step 2: Convert to fraction form
    410.20/614.59 = 271.29/x
  3. Step 3: Cross multiply
    410.20x = 614.59 × 271.29
  4. Step 4: Simplify right side
    410.20x = 166,732.12
  5. Step 5: Solve for x
    x = 166,732.12/410.20
  6. Step 6: Final answer
    x = 406.47

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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.