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Finding the Fourth Proportional to 240.21, 360.31 and 86.09

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Solution

The fourth proportional to 240.21, 360.31 and 86.09 is: 129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 360.31 = 86.09 : x
  2. Step 2: Convert to fraction form
    240.21/360.31 = 86.09/x
  3. Step 3: Cross multiply
    240.21x = 360.31 × 86.09
  4. Step 4: Simplify right side
    240.21x = 31,018.66
  5. Step 5: Solve for x
    x = 31,018.66/240.21
  6. Step 6: Final answer
    x = 129.13

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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.