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Finding the Fourth Proportional to 169.32, 232.92 and 157.56

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Solution

The fourth proportional to 169.32, 232.92 and 157.56 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 232.92 = 157.56 : x
  2. Step 2: Convert to fraction form
    169.32/232.92 = 157.56/x
  3. Step 3: Cross multiply
    169.32x = 232.92 × 157.56
  4. Step 4: Simplify right side
    169.32x = 36,698.88
  5. Step 5: Solve for x
    x = 36,698.88/169.32
  6. Step 6: Final answer
    x = 216.74

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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.