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Finding the Fourth Proportional to 306.88, 422.81 and 292.97

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Solution

The fourth proportional to 306.88, 422.81 and 292.97 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 422.81 = 292.97 : x
  2. Step 2: Convert to fraction form
    306.88/422.81 = 292.97/x
  3. Step 3: Cross multiply
    306.88x = 422.81 × 292.97
  4. Step 4: Simplify right side
    306.88x = 123,870.65
  5. Step 5: Solve for x
    x = 123,870.65/306.88
  6. Step 6: Final answer
    x = 403.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.