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Finding the Fourth Proportional to 61.49, 84.78 and 41.81

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Solution

The fourth proportional to 61.49, 84.78 and 41.81 is: 57.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.49 : 84.78 = 41.81 : x
  2. Step 2: Convert to fraction form
    61.49/84.78 = 41.81/x
  3. Step 3: Cross multiply
    61.49x = 84.78 × 41.81
  4. Step 4: Simplify right side
    61.49x = 3,544.86
  5. Step 5: Solve for x
    x = 3,544.86/61.49
  6. Step 6: Final answer
    x = 57.65

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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.