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Finding the Fourth Proportional to 550.05, 824.35 and 329.97

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Solution

The fourth proportional to 550.05, 824.35 and 329.97 is: 494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 824.35 = 329.97 : x
  2. Step 2: Convert to fraction form
    550.05/824.35 = 329.97/x
  3. Step 3: Cross multiply
    550.05x = 824.35 × 329.97
  4. Step 4: Simplify right side
    550.05x = 272,010.77
  5. Step 5: Solve for x
    x = 272,010.77/550.05
  6. Step 6: Final answer
    x = 494.52

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Double scale
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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.