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Finding the Fourth Proportional to 304.85, 421.17 and 199.90

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Solution

The fourth proportional to 304.85, 421.17 and 199.90 is: 276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.85 : 421.17 = 199.90 : x
  2. Step 2: Convert to fraction form
    304.85/421.17 = 199.90/x
  3. Step 3: Cross multiply
    304.85x = 421.17 × 199.90
  4. Step 4: Simplify right side
    304.85x = 84,192.38
  5. Step 5: Solve for x
    x = 84,192.38/304.85
  6. Step 6: Final answer
    x = 276.18

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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.