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Finding the Fourth Proportional to 217.42, 325.78 and 159.78

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Solution

The fourth proportional to 217.42, 325.78 and 159.78 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.42 : 325.78 = 159.78 : x
  2. Step 2: Convert to fraction form
    217.42/325.78 = 159.78/x
  3. Step 3: Cross multiply
    217.42x = 325.78 × 159.78
  4. Step 4: Simplify right side
    217.42x = 52,053.13
  5. Step 5: Solve for x
    x = 52,053.13/217.42
  6. Step 6: Final answer
    x = 239.41

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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.