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Finding the Fourth Proportional to 238.60, 357.49 and 209.85

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Solution

The fourth proportional to 238.60, 357.49 and 209.85 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 357.49 = 209.85 : x
  2. Step 2: Convert to fraction form
    238.60/357.49 = 209.85/x
  3. Step 3: Cross multiply
    238.60x = 357.49 × 209.85
  4. Step 4: Simplify right side
    238.60x = 75,019.28
  5. Step 5: Solve for x
    x = 75,019.28/238.60
  6. Step 6: Final answer
    x = 314.41

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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.