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Finding the Fourth Proportional to 885.40, 1,328.19 and 269.11

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Solution

The fourth proportional to 885.40, 1,328.19 and 269.11 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.40 : 1,328.19 = 269.11 : x
  2. Step 2: Convert to fraction form
    885.40/1,328.19 = 269.11/x
  3. Step 3: Cross multiply
    885.40x = 1,328.19 × 269.11
  4. Step 4: Simplify right side
    885.40x = 357,429.21
  5. Step 5: Solve for x
    x = 357,429.21/885.40
  6. Step 6: Final answer
    x = 403.69

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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.