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Finding the Fourth Proportional to 360.56, 540.78 and 129.40

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Solution

The fourth proportional to 360.56, 540.78 and 129.40 is: 194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.56 : 540.78 = 129.40 : x
  2. Step 2: Convert to fraction form
    360.56/540.78 = 129.40/x
  3. Step 3: Cross multiply
    360.56x = 540.78 × 129.40
  4. Step 4: Simplify right side
    360.56x = 69,976.93
  5. Step 5: Solve for x
    x = 69,976.93/360.56
  6. Step 6: Final answer
    x = 194.08

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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.