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Finding the Fourth Proportional to 217.87, 324.88 and 187.63

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Solution

The fourth proportional to 217.87, 324.88 and 187.63 is: 279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.87 : 324.88 = 187.63 : x
  2. Step 2: Convert to fraction form
    217.87/324.88 = 187.63/x
  3. Step 3: Cross multiply
    217.87x = 324.88 × 187.63
  4. Step 4: Simplify right side
    217.87x = 60,956.30
  5. Step 5: Solve for x
    x = 60,956.30/217.87
  6. Step 6: Final answer
    x = 279.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.