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Finding the Fourth Proportional to 83.89, 115.81 and 63.18

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Solution

The fourth proportional to 83.89, 115.81 and 63.18 is: 87.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.89 : 115.81 = 63.18 : x
  2. Step 2: Convert to fraction form
    83.89/115.81 = 63.18/x
  3. Step 3: Cross multiply
    83.89x = 115.81 × 63.18
  4. Step 4: Simplify right side
    83.89x = 7,316.74
  5. Step 5: Solve for x
    x = 7,316.74/83.89
  6. Step 6: Final answer
    x = 87.21

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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.