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Finding the Fourth Proportional to 169.48, 232.92 and 152.72

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Solution

The fourth proportional to 169.48, 232.92 and 152.72 is: 209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.48 : 232.92 = 152.72 : x
  2. Step 2: Convert to fraction form
    169.48/232.92 = 152.72/x
  3. Step 3: Cross multiply
    169.48x = 232.92 × 152.72
  4. Step 4: Simplify right side
    169.48x = 35,571.54
  5. Step 5: Solve for x
    x = 35,571.54/169.48
  6. Step 6: Final answer
    x = 209.89

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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.