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Finding the Fourth Proportional to 67.27, 92.84 and 52.54

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Solution

The fourth proportional to 67.27, 92.84 and 52.54 is: 72.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.27 : 92.84 = 52.54 : x
  2. Step 2: Convert to fraction form
    67.27/92.84 = 52.54/x
  3. Step 3: Cross multiply
    67.27x = 92.84 × 52.54
  4. Step 4: Simplify right side
    67.27x = 4,877.61
  5. Step 5: Solve for x
    x = 4,877.61/67.27
  6. Step 6: Final answer
    x = 72.51

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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.