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Finding the Fourth Proportional to 60.73, 83.81 and 33.10

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Solution

The fourth proportional to 60.73, 83.81 and 33.10 is: 45.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.73 : 83.81 = 33.10 : x
  2. Step 2: Convert to fraction form
    60.73/83.81 = 33.10/x
  3. Step 3: Cross multiply
    60.73x = 83.81 × 33.10
  4. Step 4: Simplify right side
    60.73x = 2,773.90
  5. Step 5: Solve for x
    x = 2,773.90/60.73
  6. Step 6: Final answer
    x = 45.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.