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Finding the Fourth Proportional to 514.50, 772.07 and 271.20

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Solution

The fourth proportional to 514.50, 772.07 and 271.20 is: 406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.50 : 772.07 = 271.20 : x
  2. Step 2: Convert to fraction form
    514.50/772.07 = 271.20/x
  3. Step 3: Cross multiply
    514.50x = 772.07 × 271.20
  4. Step 4: Simplify right side
    514.50x = 209,385.38
  5. Step 5: Solve for x
    x = 209,385.38/514.50
  6. Step 6: Final answer
    x = 406.97

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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.