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Finding the Fourth Proportional to 67.28, 92.85 and 47.60

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Solution

The fourth proportional to 67.28, 92.85 and 47.60 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.28 : 92.85 = 47.60 : x
  2. Step 2: Convert to fraction form
    67.28/92.85 = 47.60/x
  3. Step 3: Cross multiply
    67.28x = 92.85 × 47.60
  4. Step 4: Simplify right side
    67.28x = 4,419.66
  5. Step 5: Solve for x
    x = 4,419.66/67.28
  6. Step 6: Final answer
    x = 65.69

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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.