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Finding the Fourth Proportional to 209.78, 314.38 and 118.34

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Solution

The fourth proportional to 209.78, 314.38 and 118.34 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 314.38 = 118.34 : x
  2. Step 2: Convert to fraction form
    209.78/314.38 = 118.34/x
  3. Step 3: Cross multiply
    209.78x = 314.38 × 118.34
  4. Step 4: Simplify right side
    209.78x = 37,203.73
  5. Step 5: Solve for x
    x = 37,203.73/209.78
  6. Step 6: Final answer
    x = 177.35

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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.