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Finding the Fourth Proportional to 209.84, 289.72 and 131.27

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Solution

The fourth proportional to 209.84, 289.72 and 131.27 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 289.72 = 131.27 : x
  2. Step 2: Convert to fraction form
    209.84/289.72 = 131.27/x
  3. Step 3: Cross multiply
    209.84x = 289.72 × 131.27
  4. Step 4: Simplify right side
    209.84x = 38,031.94
  5. Step 5: Solve for x
    x = 38,031.94/209.84
  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.