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Finding the Fourth Proportional to 170.70, 255.72 and 144.96

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Solution

The fourth proportional to 170.70, 255.72 and 144.96 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.70 : 255.72 = 144.96 : x
  2. Step 2: Convert to fraction form
    170.70/255.72 = 144.96/x
  3. Step 3: Cross multiply
    170.70x = 255.72 × 144.96
  4. Step 4: Simplify right side
    170.70x = 37,069.17
  5. Step 5: Solve for x
    x = 37,069.17/170.70
  6. Step 6: Final answer
    x = 217.16

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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.