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Finding the Fourth Proportional to 240.86, 360.92 and 138.20

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Solution

The fourth proportional to 240.86, 360.92 and 138.20 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.86 : 360.92 = 138.20 : x
  2. Step 2: Convert to fraction form
    240.86/360.92 = 138.20/x
  3. Step 3: Cross multiply
    240.86x = 360.92 × 138.20
  4. Step 4: Simplify right side
    240.86x = 49,877.68
  5. Step 5: Solve for x
    x = 49,877.68/240.86
  6. Step 6: Final answer
    x = 207.08

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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.