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Finding the Fourth Proportional to 209.28, 288.93 and 131.76

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Solution

The fourth proportional to 209.28, 288.93 and 131.76 is: 181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 288.93 = 131.76 : x
  2. Step 2: Convert to fraction form
    209.28/288.93 = 131.76/x
  3. Step 3: Cross multiply
    209.28x = 288.93 × 131.76
  4. Step 4: Simplify right side
    209.28x = 38,069.42
  5. Step 5: Solve for x
    x = 38,069.42/209.28
  6. Step 6: Final answer
    x = 181.91

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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.