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Finding the Fourth Proportional to 540.40, 809.96 and 251.24

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Solution

The fourth proportional to 540.40, 809.96 and 251.24 is: 376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.40 : 809.96 = 251.24 : x
  2. Step 2: Convert to fraction form
    540.40/809.96 = 251.24/x
  3. Step 3: Cross multiply
    540.40x = 809.96 × 251.24
  4. Step 4: Simplify right side
    540.40x = 203,494.35
  5. Step 5: Solve for x
    x = 203,494.35/540.40
  6. Step 6: Final answer
    x = 376.56

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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.