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Finding the Fourth Proportional to 360.27, 539.69 and 187.05

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Solution

The fourth proportional to 360.27, 539.69 and 187.05 is: 280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.27 : 539.69 = 187.05 : x
  2. Step 2: Convert to fraction form
    360.27/539.69 = 187.05/x
  3. Step 3: Cross multiply
    360.27x = 539.69 × 187.05
  4. Step 4: Simplify right side
    360.27x = 100,948.12
  5. Step 5: Solve for x
    x = 100,948.12/360.27
  6. Step 6: Final answer
    x = 280.20

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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.