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Finding the Fourth Proportional to 232.87, 347.57 and 205.51

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Solution

The fourth proportional to 232.87, 347.57 and 205.51 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.87 : 347.57 = 205.51 : x
  2. Step 2: Convert to fraction form
    232.87/347.57 = 205.51/x
  3. Step 3: Cross multiply
    232.87x = 347.57 × 205.51
  4. Step 4: Simplify right side
    232.87x = 71,429.11
  5. Step 5: Solve for x
    x = 71,429.11/232.87
  6. Step 6: Final answer
    x = 306.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.