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Finding the Fourth Proportional to 209.49, 288.95 and 131.82

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Solution

The fourth proportional to 209.49, 288.95 and 131.82 is: 181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.49 : 288.95 = 131.82 : x
  2. Step 2: Convert to fraction form
    209.49/288.95 = 131.82/x
  3. Step 3: Cross multiply
    209.49x = 288.95 × 131.82
  4. Step 4: Simplify right side
    209.49x = 38,089.39
  5. Step 5: Solve for x
    x = 38,089.39/209.49
  6. Step 6: Final answer
    x = 181.82

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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.