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Finding the Fourth Proportional to 543.76, 814.54 and 250.85

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Solution

The fourth proportional to 543.76, 814.54 and 250.85 is: 375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.76 : 814.54 = 250.85 : x
  2. Step 2: Convert to fraction form
    543.76/814.54 = 250.85/x
  3. Step 3: Cross multiply
    543.76x = 814.54 × 250.85
  4. Step 4: Simplify right side
    543.76x = 204,327.36
  5. Step 5: Solve for x
    x = 204,327.36/543.76
  6. Step 6: Final answer
    x = 375.77

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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.