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Finding the Fourth Proportional to 296.98, 445.49 and 80.56

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Solution

The fourth proportional to 296.98, 445.49 and 80.56 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.98 : 445.49 = 80.56 : x
  2. Step 2: Convert to fraction form
    296.98/445.49 = 80.56/x
  3. Step 3: Cross multiply
    296.98x = 445.49 × 80.56
  4. Step 4: Simplify right side
    296.98x = 35,889.39
  5. Step 5: Solve for x
    x = 35,889.39/296.98
  6. Step 6: Final answer
    x = 120.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.