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Finding the Fourth Proportional to 174.71, 262.17 and 77.29

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Solution

The fourth proportional to 174.71, 262.17 and 77.29 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 262.17 = 77.29 : x
  2. Step 2: Convert to fraction form
    174.71/262.17 = 77.29/x
  3. Step 3: Cross multiply
    174.71x = 262.17 × 77.29
  4. Step 4: Simplify right side
    174.71x = 20,262.46
  5. Step 5: Solve for x
    x = 20,262.46/174.71
  6. Step 6: Final answer
    x = 115.98

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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.