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Finding the Fourth Proportional to 179.66, 270.87 and 144.02

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Solution

The fourth proportional to 179.66, 270.87 and 144.02 is: 217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.66 : 270.87 = 144.02 : x
  2. Step 2: Convert to fraction form
    179.66/270.87 = 144.02/x
  3. Step 3: Cross multiply
    179.66x = 270.87 × 144.02
  4. Step 4: Simplify right side
    179.66x = 39,010.70
  5. Step 5: Solve for x
    x = 39,010.70/179.66
  6. Step 6: Final answer
    x = 217.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.