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Finding the Fourth Proportional to 300.40, 451.12 and 204.80

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Solution

The fourth proportional to 300.40, 451.12 and 204.80 is: 307.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 451.12 = 204.80 : x
  2. Step 2: Convert to fraction form
    300.40/451.12 = 204.80/x
  3. Step 3: Cross multiply
    300.40x = 451.12 × 204.80
  4. Step 4: Simplify right side
    300.40x = 92,389.38
  5. Step 5: Solve for x
    x = 92,389.38/300.40
  6. Step 6: Final answer
    x = 307.55

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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.