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Finding the Fourth Proportional to 239.78, 358.05 and 196.53

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Solution

The fourth proportional to 239.78, 358.05 and 196.53 is: 293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 358.05 = 196.53 : x
  2. Step 2: Convert to fraction form
    239.78/358.05 = 196.53/x
  3. Step 3: Cross multiply
    239.78x = 358.05 × 196.53
  4. Step 4: Simplify right side
    239.78x = 70,367.57
  5. Step 5: Solve for x
    x = 70,367.57/239.78
  6. Step 6: Final answer
    x = 293.47

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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.