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Finding the Fourth Proportional to 551.88, 827.51 and 227.47

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Solution

The fourth proportional to 551.88, 827.51 and 227.47 is: 341.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.88 : 827.51 = 227.47 : x
  2. Step 2: Convert to fraction form
    551.88/827.51 = 227.47/x
  3. Step 3: Cross multiply
    551.88x = 827.51 × 227.47
  4. Step 4: Simplify right side
    551.88x = 188,233.70
  5. Step 5: Solve for x
    x = 188,233.70/551.88
  6. Step 6: Final answer
    x = 341.08

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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.