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Finding the Fourth Proportional to 151.82, 229.04 and 144.23

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Solution

The fourth proportional to 151.82, 229.04 and 144.23 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.82 : 229.04 = 144.23 : x
  2. Step 2: Convert to fraction form
    151.82/229.04 = 144.23/x
  3. Step 3: Cross multiply
    151.82x = 229.04 × 144.23
  4. Step 4: Simplify right side
    151.82x = 33,033.65
  5. Step 5: Solve for x
    x = 33,033.65/151.82
  6. Step 6: Final answer
    x = 217.59

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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.