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Finding the Fourth Proportional to 551.49, 827.24 and 204.85

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Solution

The fourth proportional to 551.49, 827.24 and 204.85 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.49 : 827.24 = 204.85 : x
  2. Step 2: Convert to fraction form
    551.49/827.24 = 204.85/x
  3. Step 3: Cross multiply
    551.49x = 827.24 × 204.85
  4. Step 4: Simplify right side
    551.49x = 169,460.11
  5. Step 5: Solve for x
    x = 169,460.11/551.49
  6. Step 6: Final answer
    x = 307.28

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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.