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Finding the Fourth Proportional to 169.28, 233.71 and 134.45

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Solution

The fourth proportional to 169.28, 233.71 and 134.45 is: 185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 233.71 = 134.45 : x
  2. Step 2: Convert to fraction form
    169.28/233.71 = 134.45/x
  3. Step 3: Cross multiply
    169.28x = 233.71 × 134.45
  4. Step 4: Simplify right side
    169.28x = 31,422.56
  5. Step 5: Solve for x
    x = 31,422.56/169.28
  6. Step 6: Final answer
    x = 185.62

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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.