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Finding the Fourth Proportional to 232.69, 320.84 and 191.11

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Solution

The fourth proportional to 232.69, 320.84 and 191.11 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.69 : 320.84 = 191.11 : x
  2. Step 2: Convert to fraction form
    232.69/320.84 = 191.11/x
  3. Step 3: Cross multiply
    232.69x = 320.84 × 191.11
  4. Step 4: Simplify right side
    232.69x = 61,314.78
  5. Step 5: Solve for x
    x = 61,314.78/232.69
  6. Step 6: Final answer
    x = 263.50

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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.