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Finding the Fourth Proportional to 160.34, 220.98 and 123.32

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Solution

The fourth proportional to 160.34, 220.98 and 123.32 is: 169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.34 : 220.98 = 123.32 : x
  2. Step 2: Convert to fraction form
    160.34/220.98 = 123.32/x
  3. Step 3: Cross multiply
    160.34x = 220.98 × 123.32
  4. Step 4: Simplify right side
    160.34x = 27,251.25
  5. Step 5: Solve for x
    x = 27,251.25/160.34
  6. Step 6: Final answer
    x = 169.96

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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.