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Finding the Fourth Proportional to 169.29, 233.13 and 168.75

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Solution

The fourth proportional to 169.29, 233.13 and 168.75 is: 232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.29 : 233.13 = 168.75 : x
  2. Step 2: Convert to fraction form
    169.29/233.13 = 168.75/x
  3. Step 3: Cross multiply
    169.29x = 233.13 × 168.75
  4. Step 4: Simplify right side
    169.29x = 39,340.69
  5. Step 5: Solve for x
    x = 39,340.69/169.29
  6. Step 6: Final answer
    x = 232.39

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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.