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Finding the Fourth Proportional to 168.49, 232.64 and 135.89

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Solution

The fourth proportional to 168.49, 232.64 and 135.89 is: 187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.49 : 232.64 = 135.89 : x
  2. Step 2: Convert to fraction form
    168.49/232.64 = 135.89/x
  3. Step 3: Cross multiply
    168.49x = 232.64 × 135.89
  4. Step 4: Simplify right side
    168.49x = 31,612.29
  5. Step 5: Solve for x
    x = 31,612.29/168.49
  6. Step 6: Final answer
    x = 187.62

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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.