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Finding the Fourth Proportional to 121.15, 167.25 and 84.25

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Solution

The fourth proportional to 121.15, 167.25 and 84.25 is: 116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.15 : 167.25 = 84.25 : x
  2. Step 2: Convert to fraction form
    121.15/167.25 = 84.25/x
  3. Step 3: Cross multiply
    121.15x = 167.25 × 84.25
  4. Step 4: Simplify right side
    121.15x = 14,089.56
  5. Step 5: Solve for x
    x = 14,089.56/121.15
  6. Step 6: Final answer
    x = 116.30

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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.