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Finding the Fourth Proportional to 195.05, 292.40 and 73.23

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Solution

The fourth proportional to 195.05, 292.40 and 73.23 is: 109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 292.40 = 73.23 : x
  2. Step 2: Convert to fraction form
    195.05/292.40 = 73.23/x
  3. Step 3: Cross multiply
    195.05x = 292.40 × 73.23
  4. Step 4: Simplify right side
    195.05x = 21,412.09
  5. Step 5: Solve for x
    x = 21,412.09/195.05
  6. Step 6: Final answer
    x = 109.78

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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.