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Finding the Fourth Proportional to 194.98, 292.11 and 140.74

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Solution

The fourth proportional to 194.98, 292.11 and 140.74 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 292.11 = 140.74 : x
  2. Step 2: Convert to fraction form
    194.98/292.11 = 140.74/x
  3. Step 3: Cross multiply
    194.98x = 292.11 × 140.74
  4. Step 4: Simplify right side
    194.98x = 41,111.56
  5. Step 5: Solve for x
    x = 41,111.56/194.98
  6. Step 6: Final answer
    x = 210.85

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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.