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Finding the Fourth Proportional to 360.20, 540.38 and 116.90

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Solution

The fourth proportional to 360.20, 540.38 and 116.90 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 540.38 = 116.90 : x
  2. Step 2: Convert to fraction form
    360.20/540.38 = 116.90/x
  3. Step 3: Cross multiply
    360.20x = 540.38 × 116.90
  4. Step 4: Simplify right side
    360.20x = 63,168.37
  5. Step 5: Solve for x
    x = 63,168.37/360.20
  6. Step 6: Final answer
    x = 175.37

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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.