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Finding the Fourth Proportional to 55.39, 82.76 and 52.87

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Solution

The fourth proportional to 55.39, 82.76 and 52.87 is: 78.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.39 : 82.76 = 52.87 : x
  2. Step 2: Convert to fraction form
    55.39/82.76 = 52.87/x
  3. Step 3: Cross multiply
    55.39x = 82.76 × 52.87
  4. Step 4: Simplify right side
    55.39x = 4,375.52
  5. Step 5: Solve for x
    x = 4,375.52/55.39
  6. Step 6: Final answer
    x = 78.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.