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Finding the Fourth Proportional to 360.20, 540.75 and 238.70

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Solution

The fourth proportional to 360.20, 540.75 and 238.70 is: 358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 540.75 = 238.70 : x
  2. Step 2: Convert to fraction form
    360.20/540.75 = 238.70/x
  3. Step 3: Cross multiply
    360.20x = 540.75 × 238.70
  4. Step 4: Simplify right side
    360.20x = 129,074.32
  5. Step 5: Solve for x
    x = 129,074.32/360.20
  6. Step 6: Final answer
    x = 358.35

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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.