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Finding the Fourth Proportional to 195.15, 292.36 and 137.28

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Solution

The fourth proportional to 195.15, 292.36 and 137.28 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.15 : 292.36 = 137.28 : x
  2. Step 2: Convert to fraction form
    195.15/292.36 = 137.28/x
  3. Step 3: Cross multiply
    195.15x = 292.36 × 137.28
  4. Step 4: Simplify right side
    195.15x = 40,135.18
  5. Step 5: Solve for x
    x = 40,135.18/195.15
  6. Step 6: Final answer
    x = 205.66

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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.