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Finding the Fourth Proportional to 169.65, 233.85 and 136.17

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Solution

The fourth proportional to 169.65, 233.85 and 136.17 is: 187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.65 : 233.85 = 136.17 : x
  2. Step 2: Convert to fraction form
    169.65/233.85 = 136.17/x
  3. Step 3: Cross multiply
    169.65x = 233.85 × 136.17
  4. Step 4: Simplify right side
    169.65x = 31,843.35
  5. Step 5: Solve for x
    x = 31,843.35/169.65
  6. Step 6: Final answer
    x = 187.70

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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.