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Finding the Fourth Proportional to 322.97, 484.68 and 128

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Solution

The fourth proportional to 322.97, 484.68 and 128 is: 192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.97 : 484.68 = 128 : x
  2. Step 2: Convert to fraction form
    322.97/484.68 = 128/x
  3. Step 3: Cross multiply
    322.97x = 484.68 × 128
  4. Step 4: Simplify right side
    322.97x = 62,039.04
  5. Step 5: Solve for x
    x = 62,039.04/322.97
  6. Step 6: Final answer
    x = 192.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.