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Finding the Fourth Proportional to 551.18, 826.55 and 161.05

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Solution

The fourth proportional to 551.18, 826.55 and 161.05 is: 241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.18 : 826.55 = 161.05 : x
  2. Step 2: Convert to fraction form
    551.18/826.55 = 161.05/x
  3. Step 3: Cross multiply
    551.18x = 826.55 × 161.05
  4. Step 4: Simplify right side
    551.18x = 133,115.88
  5. Step 5: Solve for x
    x = 133,115.88/551.18
  6. Step 6: Final answer
    x = 241.51

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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.