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Finding the Fourth Proportional to 886.13, 1,328.68 and 269.65

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Solution

The fourth proportional to 886.13, 1,328.68 and 269.65 is: 404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.13 : 1,328.68 = 269.65 : x
  2. Step 2: Convert to fraction form
    886.13/1,328.68 = 269.65/x
  3. Step 3: Cross multiply
    886.13x = 1,328.68 × 269.65
  4. Step 4: Simplify right side
    886.13x = 358,270.57
  5. Step 5: Solve for x
    x = 358,270.57/886.13
  6. Step 6: Final answer
    x = 404.31

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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.