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Finding the Fourth Proportional to 169.08, 233.31 and 99.15

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Solution

The fourth proportional to 169.08, 233.31 and 99.15 is: 136.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.08 : 233.31 = 99.15 : x
  2. Step 2: Convert to fraction form
    169.08/233.31 = 99.15/x
  3. Step 3: Cross multiply
    169.08x = 233.31 × 99.15
  4. Step 4: Simplify right side
    169.08x = 23,132.31
  5. Step 5: Solve for x
    x = 23,132.31/169.08
  6. Step 6: Final answer
    x = 136.82

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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.