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Finding the Fourth Proportional to 144.31, 216.60 and 96.25

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Solution

The fourth proportional to 144.31, 216.60 and 96.25 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.31 : 216.60 = 96.25 : x
  2. Step 2: Convert to fraction form
    144.31/216.60 = 96.25/x
  3. Step 3: Cross multiply
    144.31x = 216.60 × 96.25
  4. Step 4: Simplify right side
    144.31x = 20,847.75
  5. Step 5: Solve for x
    x = 20,847.75/144.31
  6. Step 6: Final answer
    x = 144.47

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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.