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Finding the Fourth Proportional to 238.92, 356.61 and 208.60

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Solution

The fourth proportional to 238.92, 356.61 and 208.60 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.92 : 356.61 = 208.60 : x
  2. Step 2: Convert to fraction form
    238.92/356.61 = 208.60/x
  3. Step 3: Cross multiply
    238.92x = 356.61 × 208.60
  4. Step 4: Simplify right side
    238.92x = 74,388.85
  5. Step 5: Solve for x
    x = 74,388.85/238.92
  6. Step 6: Final answer
    x = 311.35

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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.