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Finding the Fourth Proportional to 160.32, 220.92 and 123.48

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Solution

The fourth proportional to 160.32, 220.92 and 123.48 is: 170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.32 : 220.92 = 123.48 : x
  2. Step 2: Convert to fraction form
    160.32/220.92 = 123.48/x
  3. Step 3: Cross multiply
    160.32x = 220.92 × 123.48
  4. Step 4: Simplify right side
    160.32x = 27,279.20
  5. Step 5: Solve for x
    x = 27,279.20/160.32
  6. Step 6: Final answer
    x = 170.15

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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.