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Finding the Fourth Proportional to 306.31, 422.74 and 188.26

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Solution

The fourth proportional to 306.31, 422.74 and 188.26 is: 259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.31 : 422.74 = 188.26 : x
  2. Step 2: Convert to fraction form
    306.31/422.74 = 188.26/x
  3. Step 3: Cross multiply
    306.31x = 422.74 × 188.26
  4. Step 4: Simplify right side
    306.31x = 79,583.85
  5. Step 5: Solve for x
    x = 79,583.85/306.31
  6. Step 6: Final answer
    x = 259.82

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