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Finding the Fourth Proportional to 195.45, 292.78 and 118.37

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Solution

The fourth proportional to 195.45, 292.78 and 118.37 is: 177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 292.78 = 118.37 : x
  2. Step 2: Convert to fraction form
    195.45/292.78 = 118.37/x
  3. Step 3: Cross multiply
    195.45x = 292.78 × 118.37
  4. Step 4: Simplify right side
    195.45x = 34,656.37
  5. Step 5: Solve for x
    x = 34,656.37/195.45
  6. Step 6: Final answer
    x = 177.32

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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.