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Finding the Fourth Proportional to 240.61, 360.90 and 163.38

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Solution

The fourth proportional to 240.61, 360.90 and 163.38 is: 245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.61 : 360.90 = 163.38 : x
  2. Step 2: Convert to fraction form
    240.61/360.90 = 163.38/x
  3. Step 3: Cross multiply
    240.61x = 360.90 × 163.38
  4. Step 4: Simplify right side
    240.61x = 58,963.10
  5. Step 5: Solve for x
    x = 58,963.10/240.61
  6. Step 6: Final answer
    x = 245.06

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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.