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Finding the Fourth Proportional to 232.31, 320.52 and 143.77

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Solution

The fourth proportional to 232.31, 320.52 and 143.77 is: 198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 320.52 = 143.77 : x
  2. Step 2: Convert to fraction form
    232.31/320.52 = 143.77/x
  3. Step 3: Cross multiply
    232.31x = 320.52 × 143.77
  4. Step 4: Simplify right side
    232.31x = 46,079.56
  5. Step 5: Solve for x
    x = 46,079.56/232.31
  6. Step 6: Final answer
    x = 198.35

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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.