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Finding the Fourth Proportional to 195.11, 290.62 and 192.71

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Solution

The fourth proportional to 195.11, 290.62 and 192.71 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.11 : 290.62 = 192.71 : x
  2. Step 2: Convert to fraction form
    195.11/290.62 = 192.71/x
  3. Step 3: Cross multiply
    195.11x = 290.62 × 192.71
  4. Step 4: Simplify right side
    195.11x = 56,006.35
  5. Step 5: Solve for x
    x = 56,006.35/195.11
  6. Step 6: Final answer
    x = 287.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.