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Finding the Fourth Proportional to 195.78, 292.64 and 149.65

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Solution

The fourth proportional to 195.78, 292.64 and 149.65 is: 223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 292.64 = 149.65 : x
  2. Step 2: Convert to fraction form
    195.78/292.64 = 149.65/x
  3. Step 3: Cross multiply
    195.78x = 292.64 × 149.65
  4. Step 4: Simplify right side
    195.78x = 43,793.58
  5. Step 5: Solve for x
    x = 43,793.58/195.78
  6. Step 6: Final answer
    x = 223.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.