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Finding the Fourth Proportional to 60.77, 91.20 and 54.95

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Solution

The fourth proportional to 60.77, 91.20 and 54.95 is: 82.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.77 : 91.20 = 54.95 : x
  2. Step 2: Convert to fraction form
    60.77/91.20 = 54.95/x
  3. Step 3: Cross multiply
    60.77x = 91.20 × 54.95
  4. Step 4: Simplify right side
    60.77x = 5,011.44
  5. Step 5: Solve for x
    x = 5,011.44/60.77
  6. Step 6: Final answer
    x = 82.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.