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Finding the Fourth Proportional to 410.27, 614.59 and 272.57

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Solution

The fourth proportional to 410.27, 614.59 and 272.57 is: 408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.27 : 614.59 = 272.57 : x
  2. Step 2: Convert to fraction form
    410.27/614.59 = 272.57/x
  3. Step 3: Cross multiply
    410.27x = 614.59 × 272.57
  4. Step 4: Simplify right side
    410.27x = 167,515.04
  5. Step 5: Solve for x
    x = 167,515.04/410.27
  6. Step 6: Final answer
    x = 408.31

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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.