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Finding the Fourth Proportional to 54.16, 80.84 and 50.72

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Solution

The fourth proportional to 54.16, 80.84 and 50.72 is: 75.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.16 : 80.84 = 50.72 : x
  2. Step 2: Convert to fraction form
    54.16/80.84 = 50.72/x
  3. Step 3: Cross multiply
    54.16x = 80.84 × 50.72
  4. Step 4: Simplify right side
    54.16x = 4,099.93
  5. Step 5: Solve for x
    x = 4,099.93/54.16
  6. Step 6: Final answer
    x = 75.70

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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.