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Finding the Fourth Proportional to 322.13, 484.97 and 220.07

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Solution

The fourth proportional to 322.13, 484.97 and 220.07 is: 331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 484.97 = 220.07 : x
  2. Step 2: Convert to fraction form
    322.13/484.97 = 220.07/x
  3. Step 3: Cross multiply
    322.13x = 484.97 × 220.07
  4. Step 4: Simplify right side
    322.13x = 106,727.46
  5. Step 5: Solve for x
    x = 106,727.46/322.13
  6. Step 6: Final answer
    x = 331.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.