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Finding the Fourth Proportional to 53.92, 80.87 and 34.66

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Solution

The fourth proportional to 53.92, 80.87 and 34.66 is: 51.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.92 : 80.87 = 34.66 : x
  2. Step 2: Convert to fraction form
    53.92/80.87 = 34.66/x
  3. Step 3: Cross multiply
    53.92x = 80.87 × 34.66
  4. Step 4: Simplify right side
    53.92x = 2,802.95
  5. Step 5: Solve for x
    x = 2,802.95/53.92
  6. Step 6: Final answer
    x = 51.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.