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Finding the Fourth Proportional to 168.91, 232.56 and 146.72

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Solution

The fourth proportional to 168.91, 232.56 and 146.72 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.91 : 232.56 = 146.72 : x
  2. Step 2: Convert to fraction form
    168.91/232.56 = 146.72/x
  3. Step 3: Cross multiply
    168.91x = 232.56 × 146.72
  4. Step 4: Simplify right side
    168.91x = 34,121.78
  5. Step 5: Solve for x
    x = 34,121.78/168.91
  6. Step 6: Final answer
    x = 202.01

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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.