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Finding the Fourth Proportional to 74.28, 110.98 and 53.61

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Solution

The fourth proportional to 74.28, 110.98 and 53.61 is: 80.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.28 : 110.98 = 53.61 : x
  2. Step 2: Convert to fraction form
    74.28/110.98 = 53.61/x
  3. Step 3: Cross multiply
    74.28x = 110.98 × 53.61
  4. Step 4: Simplify right side
    74.28x = 5,949.83
  5. Step 5: Solve for x
    x = 5,949.83/74.28
  6. Step 6: Final answer
    x = 80.11

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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.