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Finding the Fourth Proportional to 306.51, 422.85 and 219.30

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Solution

The fourth proportional to 306.51, 422.85 and 219.30 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.51 : 422.85 = 219.30 : x
  2. Step 2: Convert to fraction form
    306.51/422.85 = 219.30/x
  3. Step 3: Cross multiply
    306.51x = 422.85 × 219.30
  4. Step 4: Simplify right side
    306.51x = 92,731.01
  5. Step 5: Solve for x
    x = 92,731.01/306.51
  6. Step 6: Final answer
    x = 302.54

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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.