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Finding the Fourth Proportional to 239.23, 330.01 and 140.97

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Solution

The fourth proportional to 239.23, 330.01 and 140.97 is: 194.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.23 : 330.01 = 140.97 : x
  2. Step 2: Convert to fraction form
    239.23/330.01 = 140.97/x
  3. Step 3: Cross multiply
    239.23x = 330.01 × 140.97
  4. Step 4: Simplify right side
    239.23x = 46,521.51
  5. Step 5: Solve for x
    x = 46,521.51/239.23
  6. Step 6: Final answer
    x = 194.46

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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.