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Finding the Fourth Proportional to 886.19, 1,329.44 and 269.87

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Solution

The fourth proportional to 886.19, 1,329.44 and 269.87 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.19 : 1,329.44 = 269.87 : x
  2. Step 2: Convert to fraction form
    886.19/1,329.44 = 269.87/x
  3. Step 3: Cross multiply
    886.19x = 1,329.44 × 269.87
  4. Step 4: Simplify right side
    886.19x = 358,777.95
  5. Step 5: Solve for x
    x = 358,777.95/886.19
  6. Step 6: Final answer
    x = 404.85

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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.