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Finding the Fourth Proportional to 238.82, 359.62 and 208.76

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Solution

The fourth proportional to 238.82, 359.62 and 208.76 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 359.62 = 208.76 : x
  2. Step 2: Convert to fraction form
    238.82/359.62 = 208.76/x
  3. Step 3: Cross multiply
    238.82x = 359.62 × 208.76
  4. Step 4: Simplify right side
    238.82x = 75,071.95
  5. Step 5: Solve for x
    x = 75,071.95/238.82
  6. Step 6: Final answer
    x = 314.35

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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.