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Finding the Fourth Proportional to 239.19, 330.14 and 140.98

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Solution

The fourth proportional to 239.19, 330.14 and 140.98 is: 194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.19 : 330.14 = 140.98 : x
  2. Step 2: Convert to fraction form
    239.19/330.14 = 140.98/x
  3. Step 3: Cross multiply
    239.19x = 330.14 × 140.98
  4. Step 4: Simplify right side
    239.19x = 46,543.14
  5. Step 5: Solve for x
    x = 46,543.14/239.19
  6. Step 6: Final answer
    x = 194.59

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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.