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Finding the Fourth Proportional to 238.31, 328.78 and 208.79

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Solution

The fourth proportional to 238.31, 328.78 and 208.79 is: 288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.31 : 328.78 = 208.79 : x
  2. Step 2: Convert to fraction form
    238.31/328.78 = 208.79/x
  3. Step 3: Cross multiply
    238.31x = 328.78 × 208.79
  4. Step 4: Simplify right side
    238.31x = 68,645.98
  5. Step 5: Solve for x
    x = 68,645.98/238.31
  6. Step 6: Final answer
    x = 288.05

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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.