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Finding the Fourth Proportional to 217.68, 325.93 and 159.46

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Solution

The fourth proportional to 217.68, 325.93 and 159.46 is: 238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.68 : 325.93 = 159.46 : x
  2. Step 2: Convert to fraction form
    217.68/325.93 = 159.46/x
  3. Step 3: Cross multiply
    217.68x = 325.93 × 159.46
  4. Step 4: Simplify right side
    217.68x = 51,972.35
  5. Step 5: Solve for x
    x = 51,972.35/217.68
  6. Step 6: Final answer
    x = 238.76

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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.