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Finding the Fourth Proportional to 404.39, 557.97 and 321.77

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Solution

The fourth proportional to 404.39, 557.97 and 321.77 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.39 : 557.97 = 321.77 : x
  2. Step 2: Convert to fraction form
    404.39/557.97 = 321.77/x
  3. Step 3: Cross multiply
    404.39x = 557.97 × 321.77
  4. Step 4: Simplify right side
    404.39x = 179,538.01
  5. Step 5: Solve for x
    x = 179,538.01/404.39
  6. Step 6: Final answer
    x = 443.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.