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Finding the Fourth Proportional to 52.71, 79.17 and 33.48

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Solution

The fourth proportional to 52.71, 79.17 and 33.48 is: 50.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.71 : 79.17 = 33.48 : x
  2. Step 2: Convert to fraction form
    52.71/79.17 = 33.48/x
  3. Step 3: Cross multiply
    52.71x = 79.17 × 33.48
  4. Step 4: Simplify right side
    52.71x = 2,650.61
  5. Step 5: Solve for x
    x = 2,650.61/52.71
  6. Step 6: Final answer
    x = 50.29

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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.