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Finding the Fourth Proportional to 240.38, 360.77 and 96.10

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Solution

The fourth proportional to 240.38, 360.77 and 96.10 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.38 : 360.77 = 96.10 : x
  2. Step 2: Convert to fraction form
    240.38/360.77 = 96.10/x
  3. Step 3: Cross multiply
    240.38x = 360.77 × 96.10
  4. Step 4: Simplify right side
    240.38x = 34,668.61
  5. Step 5: Solve for x
    x = 34,668.61/240.38
  6. Step 6: Final answer
    x = 144.23

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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.