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Finding the Fourth Proportional to 269.68, 404.16 and 98.56

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Solution

The fourth proportional to 269.68, 404.16 and 98.56 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.68 : 404.16 = 98.56 : x
  2. Step 2: Convert to fraction form
    269.68/404.16 = 98.56/x
  3. Step 3: Cross multiply
    269.68x = 404.16 × 98.56
  4. Step 4: Simplify right side
    269.68x = 39,834.01
  5. Step 5: Solve for x
    x = 39,834.01/269.68
  6. Step 6: Final answer
    x = 147.71

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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.