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Finding the Fourth Proportional to 195.20, 290.51 and 187.91

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Solution

The fourth proportional to 195.20, 290.51 and 187.91 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.20 : 290.51 = 187.91 : x
  2. Step 2: Convert to fraction form
    195.20/290.51 = 187.91/x
  3. Step 3: Cross multiply
    195.20x = 290.51 × 187.91
  4. Step 4: Simplify right side
    195.20x = 54,589.52
  5. Step 5: Solve for x
    x = 54,589.52/195.20
  6. Step 6: Final answer
    x = 279.66

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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.