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Finding the Fourth Proportional to 195.17, 292.77 and 73.42

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Solution

The fourth proportional to 195.17, 292.77 and 73.42 is: 110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.17 : 292.77 = 73.42 : x
  2. Step 2: Convert to fraction form
    195.17/292.77 = 73.42/x
  3. Step 3: Cross multiply
    195.17x = 292.77 × 73.42
  4. Step 4: Simplify right side
    195.17x = 21,494.81
  5. Step 5: Solve for x
    x = 21,494.81/195.17
  6. Step 6: Final answer
    x = 110.13

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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.