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Finding the Fourth Proportional to 306.48, 422.92 and 190

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Solution

The fourth proportional to 306.48, 422.92 and 190 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 422.92 = 190 : x
  2. Step 2: Convert to fraction form
    306.48/422.92 = 190/x
  3. Step 3: Cross multiply
    306.48x = 422.92 × 190
  4. Step 4: Simplify right side
    306.48x = 80,354.80
  5. Step 5: Solve for x
    x = 80,354.80/306.48
  6. Step 6: Final answer
    x = 262.19

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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.