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Finding the Fourth Proportional to 240.88, 360.96 and 144.64

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Solution

The fourth proportional to 240.88, 360.96 and 144.64 is: 216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.88 : 360.96 = 144.64 : x
  2. Step 2: Convert to fraction form
    240.88/360.96 = 144.64/x
  3. Step 3: Cross multiply
    240.88x = 360.96 × 144.64
  4. Step 4: Simplify right side
    240.88x = 52,209.25
  5. Step 5: Solve for x
    x = 52,209.25/240.88
  6. Step 6: Final answer
    x = 216.74

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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.