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Finding the Fourth Proportional to 209.62, 315.99 and 180.97

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Solution

The fourth proportional to 209.62, 315.99 and 180.97 is: 272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.62 : 315.99 = 180.97 : x
  2. Step 2: Convert to fraction form
    209.62/315.99 = 180.97/x
  3. Step 3: Cross multiply
    209.62x = 315.99 × 180.97
  4. Step 4: Simplify right side
    209.62x = 57,184.71
  5. Step 5: Solve for x
    x = 57,184.71/209.62
  6. Step 6: Final answer
    x = 272.80

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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.