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Finding the Fourth Proportional to 540.55, 809.97 and 232.21

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Solution

The fourth proportional to 540.55, 809.97 and 232.21 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.55 : 809.97 = 232.21 : x
  2. Step 2: Convert to fraction form
    540.55/809.97 = 232.21/x
  3. Step 3: Cross multiply
    540.55x = 809.97 × 232.21
  4. Step 4: Simplify right side
    540.55x = 188,083.13
  5. Step 5: Solve for x
    x = 188,083.13/540.55
  6. Step 6: Final answer
    x = 347.95

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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.