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Finding the Fourth Proportional to 209.15, 314.97 and 182.42

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Solution

The fourth proportional to 209.15, 314.97 and 182.42 is: 274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.15 : 314.97 = 182.42 : x
  2. Step 2: Convert to fraction form
    209.15/314.97 = 182.42/x
  3. Step 3: Cross multiply
    209.15x = 314.97 × 182.42
  4. Step 4: Simplify right side
    209.15x = 57,456.83
  5. Step 5: Solve for x
    x = 57,456.83/209.15
  6. Step 6: Final answer
    x = 274.72

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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.