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Finding the Fourth Proportional to 121, 167.28 and 115.90

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Solution

The fourth proportional to 121, 167.28 and 115.90 is: 160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121 : 167.28 = 115.90 : x
  2. Step 2: Convert to fraction form
    121/167.28 = 115.90/x
  3. Step 3: Cross multiply
    121x = 167.28 × 115.90
  4. Step 4: Simplify right side
    121x = 19,387.75
  5. Step 5: Solve for x
    x = 19,387.75/121
  6. Step 6: Final answer
    x = 160.23

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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.