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Finding the Fourth Proportional to 360.27, 540.66 and 186.84

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Solution

The fourth proportional to 360.27, 540.66 and 186.84 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.27 : 540.66 = 186.84 : x
  2. Step 2: Convert to fraction form
    360.27/540.66 = 186.84/x
  3. Step 3: Cross multiply
    360.27x = 540.66 × 186.84
  4. Step 4: Simplify right side
    360.27x = 101,016.91
  5. Step 5: Solve for x
    x = 101,016.91/360.27
  6. Step 6: Final answer
    x = 280.39

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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.