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Finding the Fourth Proportional to 414.83, 572.14 and 321.86

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Solution

The fourth proportional to 414.83, 572.14 and 321.86 is: 443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 572.14 = 321.86 : x
  2. Step 2: Convert to fraction form
    414.83/572.14 = 321.86/x
  3. Step 3: Cross multiply
    414.83x = 572.14 × 321.86
  4. Step 4: Simplify right side
    414.83x = 184,148.98
  5. Step 5: Solve for x
    x = 184,148.98/414.83
  6. Step 6: Final answer
    x = 443.91

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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.