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Finding the Fourth Proportional to 169.28, 233.68 and 134.24

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Solution

The fourth proportional to 169.28, 233.68 and 134.24 is: 185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 233.68 = 134.24 : x
  2. Step 2: Convert to fraction form
    169.28/233.68 = 134.24/x
  3. Step 3: Cross multiply
    169.28x = 233.68 × 134.24
  4. Step 4: Simplify right side
    169.28x = 31,369.20
  5. Step 5: Solve for x
    x = 31,369.20/169.28
  6. Step 6: Final answer
    x = 185.31

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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.