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Finding the Fourth Proportional to 71.50, 98.74 and 54.22

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Solution

The fourth proportional to 71.50, 98.74 and 54.22 is: 74.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 98.74 = 54.22 : x
  2. Step 2: Convert to fraction form
    71.50/98.74 = 54.22/x
  3. Step 3: Cross multiply
    71.50x = 98.74 × 54.22
  4. Step 4: Simplify right side
    71.50x = 5,353.68
  5. Step 5: Solve for x
    x = 5,353.68/71.50
  6. Step 6: Final answer
    x = 74.88

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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.