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Finding the Fourth Proportional to 307.10, 422.88 and 219.62

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Solution

The fourth proportional to 307.10, 422.88 and 219.62 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.10 : 422.88 = 219.62 : x
  2. Step 2: Convert to fraction form
    307.10/422.88 = 219.62/x
  3. Step 3: Cross multiply
    307.10x = 422.88 × 219.62
  4. Step 4: Simplify right side
    307.10x = 92,872.91
  5. Step 5: Solve for x
    x = 92,872.91/307.10
  6. Step 6: Final answer
    x = 302.42

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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.