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Finding the Fourth Proportional to 209.99, 290.20 and 157.71

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Solution

The fourth proportional to 209.99, 290.20 and 157.71 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.99 : 290.20 = 157.71 : x
  2. Step 2: Convert to fraction form
    209.99/290.20 = 157.71/x
  3. Step 3: Cross multiply
    209.99x = 290.20 × 157.71
  4. Step 4: Simplify right side
    209.99x = 45,767.44
  5. Step 5: Solve for x
    x = 45,767.44/209.99
  6. Step 6: Final answer
    x = 217.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.