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Finding the Fourth Proportional to 240.33, 360.34 and 86.20

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Solution

The fourth proportional to 240.33, 360.34 and 86.20 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.33 : 360.34 = 86.20 : x
  2. Step 2: Convert to fraction form
    240.33/360.34 = 86.20/x
  3. Step 3: Cross multiply
    240.33x = 360.34 × 86.20
  4. Step 4: Simplify right side
    240.33x = 31,061.31
  5. Step 5: Solve for x
    x = 31,061.31/240.33
  6. Step 6: Final answer
    x = 129.24

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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.