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Finding the Fourth Proportional to 55.57, 82.83 and 53.95

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Solution

The fourth proportional to 55.57, 82.83 and 53.95 is: 80.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.57 : 82.83 = 53.95 : x
  2. Step 2: Convert to fraction form
    55.57/82.83 = 53.95/x
  3. Step 3: Cross multiply
    55.57x = 82.83 × 53.95
  4. Step 4: Simplify right side
    55.57x = 4,468.68
  5. Step 5: Solve for x
    x = 4,468.68/55.57
  6. Step 6: Final answer
    x = 80.42

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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.