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Finding the Fourth Proportional to 209.74, 315.33 and 169.45

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Solution

The fourth proportional to 209.74, 315.33 and 169.45 is: 254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 315.33 = 169.45 : x
  2. Step 2: Convert to fraction form
    209.74/315.33 = 169.45/x
  3. Step 3: Cross multiply
    209.74x = 315.33 × 169.45
  4. Step 4: Simplify right side
    209.74x = 53,432.67
  5. Step 5: Solve for x
    x = 53,432.67/209.74
  6. Step 6: Final answer
    x = 254.76

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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.