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Finding the Fourth Proportional to 83.64, 115.20 and 67.08

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Solution

The fourth proportional to 83.64, 115.20 and 67.08 is: 92.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 115.20 = 67.08 : x
  2. Step 2: Convert to fraction form
    83.64/115.20 = 67.08/x
  3. Step 3: Cross multiply
    83.64x = 115.20 × 67.08
  4. Step 4: Simplify right side
    83.64x = 7,727.62
  5. Step 5: Solve for x
    x = 7,727.62/83.64
  6. Step 6: Final answer
    x = 92.39

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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.