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Finding the Fourth Proportional to 238.80, 359.79 and 206.40

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Solution

The fourth proportional to 238.80, 359.79 and 206.40 is: 310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.80 : 359.79 = 206.40 : x
  2. Step 2: Convert to fraction form
    238.80/359.79 = 206.40/x
  3. Step 3: Cross multiply
    238.80x = 359.79 × 206.40
  4. Step 4: Simplify right side
    238.80x = 74,260.66
  5. Step 5: Solve for x
    x = 74,260.66/238.80
  6. Step 6: Final answer
    x = 310.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.