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Finding the Fourth Proportional to 294.88, 443.12 and 199.28

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Solution

The fourth proportional to 294.88, 443.12 and 199.28 is: 299.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 443.12 = 199.28 : x
  2. Step 2: Convert to fraction form
    294.88/443.12 = 199.28/x
  3. Step 3: Cross multiply
    294.88x = 443.12 × 199.28
  4. Step 4: Simplify right side
    294.88x = 88,304.95
  5. Step 5: Solve for x
    x = 88,304.95/294.88
  6. Step 6: Final answer
    x = 299.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.