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Finding the Fourth Proportional to 416.96, 574.03 and 322.19

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Solution

The fourth proportional to 416.96, 574.03 and 322.19 is: 443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 574.03 = 322.19 : x
  2. Step 2: Convert to fraction form
    416.96/574.03 = 322.19/x
  3. Step 3: Cross multiply
    416.96x = 574.03 × 322.19
  4. Step 4: Simplify right side
    416.96x = 184,946.73
  5. Step 5: Solve for x
    x = 184,946.73/416.96
  6. Step 6: Final answer
    x = 443.56

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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.