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Finding the Fourth Proportional to 83.15, 114.76 and 52.08

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Solution

The fourth proportional to 83.15, 114.76 and 52.08 is: 71.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.15 : 114.76 = 52.08 : x
  2. Step 2: Convert to fraction form
    83.15/114.76 = 52.08/x
  3. Step 3: Cross multiply
    83.15x = 114.76 × 52.08
  4. Step 4: Simplify right side
    83.15x = 5,976.34
  5. Step 5: Solve for x
    x = 5,976.34/83.15
  6. Step 6: Final answer
    x = 71.88

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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.