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Finding the Fourth Proportional to 331.83, 495.18 and 322.11

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Solution

The fourth proportional to 331.83, 495.18 and 322.11 is: 480.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.83 : 495.18 = 322.11 : x
  2. Step 2: Convert to fraction form
    331.83/495.18 = 322.11/x
  3. Step 3: Cross multiply
    331.83x = 495.18 × 322.11
  4. Step 4: Simplify right side
    331.83x = 159,502.43
  5. Step 5: Solve for x
    x = 159,502.43/331.83
  6. Step 6: Final answer
    x = 480.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.