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Finding the Fourth Proportional to 217.31, 325.78 and 148.66

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Solution

The fourth proportional to 217.31, 325.78 and 148.66 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 325.78 = 148.66 : x
  2. Step 2: Convert to fraction form
    217.31/325.78 = 148.66/x
  3. Step 3: Cross multiply
    217.31x = 325.78 × 148.66
  4. Step 4: Simplify right side
    217.31x = 48,429.71
  5. Step 5: Solve for x
    x = 48,429.71/217.31
  6. Step 6: Final answer
    x = 222.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.