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Finding the Fourth Proportional to 55.92, 84.06 and 52.78

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Solution

The fourth proportional to 55.92, 84.06 and 52.78 is: 79.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.92 : 84.06 = 52.78 : x
  2. Step 2: Convert to fraction form
    55.92/84.06 = 52.78/x
  3. Step 3: Cross multiply
    55.92x = 84.06 × 52.78
  4. Step 4: Simplify right side
    55.92x = 4,436.69
  5. Step 5: Solve for x
    x = 4,436.69/55.92
  6. Step 6: Final answer
    x = 79.34

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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.