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Finding the Fourth Proportional to 61.46, 91.80 and 57.95

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Solution

The fourth proportional to 61.46, 91.80 and 57.95 is: 86.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.46 : 91.80 = 57.95 : x
  2. Step 2: Convert to fraction form
    61.46/91.80 = 57.95/x
  3. Step 3: Cross multiply
    61.46x = 91.80 × 57.95
  4. Step 4: Simplify right side
    61.46x = 5,319.81
  5. Step 5: Solve for x
    x = 5,319.81/61.46
  6. Step 6: Final answer
    x = 86.56

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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.