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Finding the Fourth Proportional to 232.26, 320.49 and 144.96

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Solution

The fourth proportional to 232.26, 320.49 and 144.96 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.26 : 320.49 = 144.96 : x
  2. Step 2: Convert to fraction form
    232.26/320.49 = 144.96/x
  3. Step 3: Cross multiply
    232.26x = 320.49 × 144.96
  4. Step 4: Simplify right side
    232.26x = 46,458.23
  5. Step 5: Solve for x
    x = 46,458.23/232.26
  6. Step 6: Final answer
    x = 200.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.