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Finding the Fourth Proportional to 55.86, 77.12 and 39.52

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Solution

The fourth proportional to 55.86, 77.12 and 39.52 is: 54.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.86 : 77.12 = 39.52 : x
  2. Step 2: Convert to fraction form
    55.86/77.12 = 39.52/x
  3. Step 3: Cross multiply
    55.86x = 77.12 × 39.52
  4. Step 4: Simplify right side
    55.86x = 3,047.78
  5. Step 5: Solve for x
    x = 3,047.78/55.86
  6. Step 6: Final answer
    x = 54.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.