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Finding the Fourth Proportional to 322.49, 482.81 and 296.97

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Solution

The fourth proportional to 322.49, 482.81 and 296.97 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.49 : 482.81 = 296.97 : x
  2. Step 2: Convert to fraction form
    322.49/482.81 = 296.97/x
  3. Step 3: Cross multiply
    322.49x = 482.81 × 296.97
  4. Step 4: Simplify right side
    322.49x = 143,378.60
  5. Step 5: Solve for x
    x = 143,378.60/322.49
  6. Step 6: Final answer
    x = 444.61

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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.