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Finding the Fourth Proportional to 232.40, 346.88 and 205.06

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Solution

The fourth proportional to 232.40, 346.88 and 205.06 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.40 : 346.88 = 205.06 : x
  2. Step 2: Convert to fraction form
    232.40/346.88 = 205.06/x
  3. Step 3: Cross multiply
    232.40x = 346.88 × 205.06
  4. Step 4: Simplify right side
    232.40x = 71,131.21
  5. Step 5: Solve for x
    x = 71,131.21/232.40
  6. Step 6: Final answer
    x = 306.07

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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.