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Finding the Fourth Proportional to 232.29, 320.31 and 187.98

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Solution

The fourth proportional to 232.29, 320.31 and 187.98 is: 259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.29 : 320.31 = 187.98 : x
  2. Step 2: Convert to fraction form
    232.29/320.31 = 187.98/x
  3. Step 3: Cross multiply
    232.29x = 320.31 × 187.98
  4. Step 4: Simplify right side
    232.29x = 60,211.87
  5. Step 5: Solve for x
    x = 60,211.87/232.29
  6. Step 6: Final answer
    x = 259.21

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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.