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Finding the Fourth Proportional to 232.04, 320.26 and 144.70

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Solution

The fourth proportional to 232.04, 320.26 and 144.70 is: 199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.04 : 320.26 = 144.70 : x
  2. Step 2: Convert to fraction form
    232.04/320.26 = 144.70/x
  3. Step 3: Cross multiply
    232.04x = 320.26 × 144.70
  4. Step 4: Simplify right side
    232.04x = 46,341.62
  5. Step 5: Solve for x
    x = 46,341.62/232.04
  6. Step 6: Final answer
    x = 199.71

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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.