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Finding the Fourth Proportional to 131.95, 197.94 and 40.65

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Solution

The fourth proportional to 131.95, 197.94 and 40.65 is: 60.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.95 : 197.94 = 40.65 : x
  2. Step 2: Convert to fraction form
    131.95/197.94 = 40.65/x
  3. Step 3: Cross multiply
    131.95x = 197.94 × 40.65
  4. Step 4: Simplify right side
    131.95x = 8,046.26
  5. Step 5: Solve for x
    x = 8,046.26/131.95
  6. Step 6: Final answer
    x = 60.98

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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.