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Finding the Fourth Proportional to 57.57, 85.59 and 57.27

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Solution

The fourth proportional to 57.57, 85.59 and 57.27 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.57 : 85.59 = 57.27 : x
  2. Step 2: Convert to fraction form
    57.57/85.59 = 57.27/x
  3. Step 3: Cross multiply
    57.57x = 85.59 × 57.27
  4. Step 4: Simplify right side
    57.57x = 4,901.74
  5. Step 5: Solve for x
    x = 4,901.74/57.57
  6. Step 6: Final answer
    x = 85.14

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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.