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Finding the Fourth Proportional to 55.31, 82.79 and 38.11

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Solution

The fourth proportional to 55.31, 82.79 and 38.11 is: 57.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 82.79 = 38.11 : x
  2. Step 2: Convert to fraction form
    55.31/82.79 = 38.11/x
  3. Step 3: Cross multiply
    55.31x = 82.79 × 38.11
  4. Step 4: Simplify right side
    55.31x = 3,155.02
  5. Step 5: Solve for x
    x = 3,155.02/55.31
  6. Step 6: Final answer
    x = 57.04

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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.