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Finding the Fourth Proportional to 543.29, 813.78 and 269.19

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Solution

The fourth proportional to 543.29, 813.78 and 269.19 is: 403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.29 : 813.78 = 269.19 : x
  2. Step 2: Convert to fraction form
    543.29/813.78 = 269.19/x
  3. Step 3: Cross multiply
    543.29x = 813.78 × 269.19
  4. Step 4: Simplify right side
    543.29x = 219,061.44
  5. Step 5: Solve for x
    x = 219,061.44/543.29
  6. Step 6: Final answer
    x = 403.22

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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.