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Finding the Fourth Proportional to 55.62, 83.38 and 38.54

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Solution

The fourth proportional to 55.62, 83.38 and 38.54 is: 57.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.62 : 83.38 = 38.54 : x
  2. Step 2: Convert to fraction form
    55.62/83.38 = 38.54/x
  3. Step 3: Cross multiply
    55.62x = 83.38 × 38.54
  4. Step 4: Simplify right side
    55.62x = 3,212.86
  5. Step 5: Solve for x
    x = 3,212.86/55.62
  6. Step 6: Final answer
    x = 57.76

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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.