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Finding the Fourth Proportional to 57.01, 84.95 and 55.18

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Solution

The fourth proportional to 57.01, 84.95 and 55.18 is: 82.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.01 : 84.95 = 55.18 : x
  2. Step 2: Convert to fraction form
    57.01/84.95 = 55.18/x
  3. Step 3: Cross multiply
    57.01x = 84.95 × 55.18
  4. Step 4: Simplify right side
    57.01x = 4,687.12
  5. Step 5: Solve for x
    x = 4,687.12/57.01
  6. Step 6: Final answer
    x = 82.22

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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.