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Finding the Fourth Proportional to 540.80, 811.17 and 150.82

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Solution

The fourth proportional to 540.80, 811.17 and 150.82 is: 226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.80 : 811.17 = 150.82 : x
  2. Step 2: Convert to fraction form
    540.80/811.17 = 150.82/x
  3. Step 3: Cross multiply
    540.80x = 811.17 × 150.82
  4. Step 4: Simplify right side
    540.80x = 122,343.62
  5. Step 5: Solve for x
    x = 122,343.62/540.80
  6. Step 6: Final answer
    x = 226.23

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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.