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Finding the Fourth Proportional to 232.80, 349.80 and 206.40

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Solution

The fourth proportional to 232.80, 349.80 and 206.40 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 349.80 = 206.40 : x
  2. Step 2: Convert to fraction form
    232.80/349.80 = 206.40/x
  3. Step 3: Cross multiply
    232.80x = 349.80 × 206.40
  4. Step 4: Simplify right side
    232.80x = 72,198.72
  5. Step 5: Solve for x
    x = 72,198.72/232.80
  6. Step 6: Final answer
    x = 310.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.