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Finding the Fourth Proportional to 209.84, 316.20 and 174.56

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Solution

The fourth proportional to 209.84, 316.20 and 174.56 is: 263.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 316.20 = 174.56 : x
  2. Step 2: Convert to fraction form
    209.84/316.20 = 174.56/x
  3. Step 3: Cross multiply
    209.84x = 316.20 × 174.56
  4. Step 4: Simplify right side
    209.84x = 55,195.87
  5. Step 5: Solve for x
    x = 55,195.87/209.84
  6. Step 6: Final answer
    x = 263.04

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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.