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Finding the Fourth Proportional to 55.46, 83 and 38.28

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Solution

The fourth proportional to 55.46, 83 and 38.28 is: 57.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.46 : 83 = 38.28 : x
  2. Step 2: Convert to fraction form
    55.46/83 = 38.28/x
  3. Step 3: Cross multiply
    55.46x = 83 × 38.28
  4. Step 4: Simplify right side
    55.46x = 3,177.24
  5. Step 5: Solve for x
    x = 3,177.24/55.46
  6. Step 6: Final answer
    x = 57.29

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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.