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Finding the Fourth Proportional to 144.56, 217.04 and 71.60

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Solution

The fourth proportional to 144.56, 217.04 and 71.60 is: 107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.56 : 217.04 = 71.60 : x
  2. Step 2: Convert to fraction form
    144.56/217.04 = 71.60/x
  3. Step 3: Cross multiply
    144.56x = 217.04 × 71.60
  4. Step 4: Simplify right side
    144.56x = 15,540.06
  5. Step 5: Solve for x
    x = 15,540.06/144.56
  6. Step 6: Final answer
    x = 107.50

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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.