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Finding the Fourth Proportional to 195.33, 290.90 and 191.93

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Solution

The fourth proportional to 195.33, 290.90 and 191.93 is: 285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.33 : 290.90 = 191.93 : x
  2. Step 2: Convert to fraction form
    195.33/290.90 = 191.93/x
  3. Step 3: Cross multiply
    195.33x = 290.90 × 191.93
  4. Step 4: Simplify right side
    195.33x = 55,830.02
  5. Step 5: Solve for x
    x = 55,830.02/195.33
  6. Step 6: Final answer
    x = 285.82

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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.