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Finding the Fourth Proportional to 551.17, 826.38 and 277.12

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Solution

The fourth proportional to 551.17, 826.38 and 277.12 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.17 : 826.38 = 277.12 : x
  2. Step 2: Convert to fraction form
    551.17/826.38 = 277.12/x
  3. Step 3: Cross multiply
    551.17x = 826.38 × 277.12
  4. Step 4: Simplify right side
    551.17x = 229,006.43
  5. Step 5: Solve for x
    x = 229,006.43/551.17
  6. Step 6: Final answer
    x = 415.49

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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.