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Finding the Fourth Proportional to 209.06, 314.31 and 170.82

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Solution

The fourth proportional to 209.06, 314.31 and 170.82 is: 256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.06 : 314.31 = 170.82 : x
  2. Step 2: Convert to fraction form
    209.06/314.31 = 170.82/x
  3. Step 3: Cross multiply
    209.06x = 314.31 × 170.82
  4. Step 4: Simplify right side
    209.06x = 53,690.38
  5. Step 5: Solve for x
    x = 53,690.38/209.06
  6. Step 6: Final answer
    x = 256.81

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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.