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Finding the Fourth Proportional to 169.85, 233.23 and 136.85

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Solution

The fourth proportional to 169.85, 233.23 and 136.85 is: 187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.85 : 233.23 = 136.85 : x
  2. Step 2: Convert to fraction form
    169.85/233.23 = 136.85/x
  3. Step 3: Cross multiply
    169.85x = 233.23 × 136.85
  4. Step 4: Simplify right side
    169.85x = 31,917.53
  5. Step 5: Solve for x
    x = 31,917.53/169.85
  6. Step 6: Final answer
    x = 187.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.