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Finding the Fourth Proportional to 209.47, 313.42 and 126.91

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Solution

The fourth proportional to 209.47, 313.42 and 126.91 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.47 : 313.42 = 126.91 : x
  2. Step 2: Convert to fraction form
    209.47/313.42 = 126.91/x
  3. Step 3: Cross multiply
    209.47x = 313.42 × 126.91
  4. Step 4: Simplify right side
    209.47x = 39,776.13
  5. Step 5: Solve for x
    x = 39,776.13/209.47
  6. Step 6: Final answer
    x = 189.89

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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.