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Finding the Fourth Proportional to 60.78, 90.96 and 48.66

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Solution

The fourth proportional to 60.78, 90.96 and 48.66 is: 72.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 90.96 = 48.66 : x
  2. Step 2: Convert to fraction form
    60.78/90.96 = 48.66/x
  3. Step 3: Cross multiply
    60.78x = 90.96 × 48.66
  4. Step 4: Simplify right side
    60.78x = 4,426.11
  5. Step 5: Solve for x
    x = 4,426.11/60.78
  6. Step 6: Final answer
    x = 72.82

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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.