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Finding the Fourth Proportional to 240.69, 361.08 and 86.61

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Solution

The fourth proportional to 240.69, 361.08 and 86.61 is: 129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.69 : 361.08 = 86.61 : x
  2. Step 2: Convert to fraction form
    240.69/361.08 = 86.61/x
  3. Step 3: Cross multiply
    240.69x = 361.08 × 86.61
  4. Step 4: Simplify right side
    240.69x = 31,273.14
  5. Step 5: Solve for x
    x = 31,273.14/240.69
  6. Step 6: Final answer
    x = 129.93

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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.