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Finding the Fourth Proportional to 551.36, 826.83 and 161.25

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Solution

The fourth proportional to 551.36, 826.83 and 161.25 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.36 : 826.83 = 161.25 : x
  2. Step 2: Convert to fraction form
    551.36/826.83 = 161.25/x
  3. Step 3: Cross multiply
    551.36x = 826.83 × 161.25
  4. Step 4: Simplify right side
    551.36x = 133,326.34
  5. Step 5: Solve for x
    x = 133,326.34/551.36
  6. Step 6: Final answer
    x = 241.82

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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.