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Finding the Fourth Proportional to 209.86, 289.71 and 131.29

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Solution

The fourth proportional to 209.86, 289.71 and 131.29 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 289.71 = 131.29 : x
  2. Step 2: Convert to fraction form
    209.86/289.71 = 131.29/x
  3. Step 3: Cross multiply
    209.86x = 289.71 × 131.29
  4. Step 4: Simplify right side
    209.86x = 38,035.30
  5. Step 5: Solve for x
    x = 38,035.30/209.86
  6. Step 6: Final answer
    x = 181.24

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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.