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Finding the Fourth Proportional to 57.49, 85.69 and 57.15

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Solution

The fourth proportional to 57.49, 85.69 and 57.15 is: 85.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.49 : 85.69 = 57.15 : x
  2. Step 2: Convert to fraction form
    57.49/85.69 = 57.15/x
  3. Step 3: Cross multiply
    57.49x = 85.69 × 57.15
  4. Step 4: Simplify right side
    57.49x = 4,897.16
  5. Step 5: Solve for x
    x = 4,897.16/57.49
  6. Step 6: Final answer
    x = 85.18

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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.