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Finding the Fourth Proportional to 209.29, 289.10 and 143.68

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Solution

The fourth proportional to 209.29, 289.10 and 143.68 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.29 : 289.10 = 143.68 : x
  2. Step 2: Convert to fraction form
    209.29/289.10 = 143.68/x
  3. Step 3: Cross multiply
    209.29x = 289.10 × 143.68
  4. Step 4: Simplify right side
    209.29x = 41,537.17
  5. Step 5: Solve for x
    x = 41,537.17/209.29
  6. Step 6: Final answer
    x = 198.47

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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.