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Finding the Fourth Proportional to 540.22, 809.28 and 308.44

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Solution

The fourth proportional to 540.22, 809.28 and 308.44 is: 462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 809.28 = 308.44 : x
  2. Step 2: Convert to fraction form
    540.22/809.28 = 308.44/x
  3. Step 3: Cross multiply
    540.22x = 809.28 × 308.44
  4. Step 4: Simplify right side
    540.22x = 249,610.28
  5. Step 5: Solve for x
    x = 249,610.28/540.22
  6. Step 6: Final answer
    x = 462.06

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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.