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Finding the Fourth Proportional to 217.53, 324.65 and 178.65

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Solution

The fourth proportional to 217.53, 324.65 and 178.65 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 324.65 = 178.65 : x
  2. Step 2: Convert to fraction form
    217.53/324.65 = 178.65/x
  3. Step 3: Cross multiply
    217.53x = 324.65 × 178.65
  4. Step 4: Simplify right side
    217.53x = 57,997.83
  5. Step 5: Solve for x
    x = 57,997.83/217.53
  6. Step 6: Final answer
    x = 266.62

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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.