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Finding the Fourth Proportional to 169.27, 233.53 and 102.87

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Solution

The fourth proportional to 169.27, 233.53 and 102.87 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.27 : 233.53 = 102.87 : x
  2. Step 2: Convert to fraction form
    169.27/233.53 = 102.87/x
  3. Step 3: Cross multiply
    169.27x = 233.53 × 102.87
  4. Step 4: Simplify right side
    169.27x = 24,022.97
  5. Step 5: Solve for x
    x = 24,022.97/169.27
  6. Step 6: Final answer
    x = 141.92

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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.