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Finding the Fourth Proportional to 217.50, 299.66 and 180.56

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Solution

The fourth proportional to 217.50, 299.66 and 180.56 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.50 : 299.66 = 180.56 : x
  2. Step 2: Convert to fraction form
    217.50/299.66 = 180.56/x
  3. Step 3: Cross multiply
    217.50x = 299.66 × 180.56
  4. Step 4: Simplify right side
    217.50x = 54,104.21
  5. Step 5: Solve for x
    x = 54,104.21/217.50
  6. Step 6: Final answer
    x = 248.75

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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.