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Finding the Fourth Proportional to 60.75, 91.67 and 57.24

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Solution

The fourth proportional to 60.75, 91.67 and 57.24 is: 86.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.75 : 91.67 = 57.24 : x
  2. Step 2: Convert to fraction form
    60.75/91.67 = 57.24/x
  3. Step 3: Cross multiply
    60.75x = 91.67 × 57.24
  4. Step 4: Simplify right side
    60.75x = 5,246.90
  5. Step 5: Solve for x
    x = 5,246.90/60.75
  6. Step 6: Final answer
    x = 86.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.