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Finding the Fourth Proportional to 239.81, 330.92 and 140.21

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Solution

The fourth proportional to 239.81, 330.92 and 140.21 is: 193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.81 : 330.92 = 140.21 : x
  2. Step 2: Convert to fraction form
    239.81/330.92 = 140.21/x
  3. Step 3: Cross multiply
    239.81x = 330.92 × 140.21
  4. Step 4: Simplify right side
    239.81x = 46,395.94
  5. Step 5: Solve for x
    x = 46,395.94/239.81
  6. Step 6: Final answer
    x = 193.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.