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Finding the Fourth Proportional to 54.24, 80.98 and 50.88

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Solution

The fourth proportional to 54.24, 80.98 and 50.88 is: 75.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.24 : 80.98 = 50.88 : x
  2. Step 2: Convert to fraction form
    54.24/80.98 = 50.88/x
  3. Step 3: Cross multiply
    54.24x = 80.98 × 50.88
  4. Step 4: Simplify right side
    54.24x = 4,120.26
  5. Step 5: Solve for x
    x = 4,120.26/54.24
  6. Step 6: Final answer
    x = 75.96

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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.