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Finding the Fourth Proportional to 195.33, 292.71 and 108.60

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Solution

The fourth proportional to 195.33, 292.71 and 108.60 is: 162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.33 : 292.71 = 108.60 : x
  2. Step 2: Convert to fraction form
    195.33/292.71 = 108.60/x
  3. Step 3: Cross multiply
    195.33x = 292.71 × 108.60
  4. Step 4: Simplify right side
    195.33x = 31,788.31
  5. Step 5: Solve for x
    x = 31,788.31/195.33
  6. Step 6: Final answer
    x = 162.74

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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.