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Finding the Fourth Proportional to 360.20, 539.98 and 167.72

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Solution

The fourth proportional to 360.20, 539.98 and 167.72 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 539.98 = 167.72 : x
  2. Step 2: Convert to fraction form
    360.20/539.98 = 167.72/x
  3. Step 3: Cross multiply
    360.20x = 539.98 × 167.72
  4. Step 4: Simplify right side
    360.20x = 90,565.45
  5. Step 5: Solve for x
    x = 90,565.45/360.20
  6. Step 6: Final answer
    x = 251.43

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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.