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Finding the Fourth Proportional to 49.23, 67.98 and 41.13

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Solution

The fourth proportional to 49.23, 67.98 and 41.13 is: 56.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.23 : 67.98 = 41.13 : x
  2. Step 2: Convert to fraction form
    49.23/67.98 = 41.13/x
  3. Step 3: Cross multiply
    49.23x = 67.98 × 41.13
  4. Step 4: Simplify right side
    49.23x = 2,796.02
  5. Step 5: Solve for x
    x = 2,796.02/49.23
  6. Step 6: Final answer
    x = 56.79

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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.