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Finding the Fourth Proportional to 543.24, 814.43 and 250.92

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Solution

The fourth proportional to 543.24, 814.43 and 250.92 is: 376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 814.43 = 250.92 : x
  2. Step 2: Convert to fraction form
    543.24/814.43 = 250.92/x
  3. Step 3: Cross multiply
    543.24x = 814.43 × 250.92
  4. Step 4: Simplify right side
    543.24x = 204,357.40
  5. Step 5: Solve for x
    x = 204,357.40/543.24
  6. Step 6: Final answer
    x = 376.18

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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.