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Finding the Fourth Proportional to 269.52, 403.56 and 217.19

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Solution

The fourth proportional to 269.52, 403.56 and 217.19 is: 325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 403.56 = 217.19 : x
  2. Step 2: Convert to fraction form
    269.52/403.56 = 217.19/x
  3. Step 3: Cross multiply
    269.52x = 403.56 × 217.19
  4. Step 4: Simplify right side
    269.52x = 87,647.18
  5. Step 5: Solve for x
    x = 87,647.18/269.52
  6. Step 6: Final answer
    x = 325.20

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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.