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Finding the Fourth Proportional to 322.61, 482.81 and 199.28

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Solution

The fourth proportional to 322.61, 482.81 and 199.28 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 482.81 = 199.28 : x
  2. Step 2: Convert to fraction form
    322.61/482.81 = 199.28/x
  3. Step 3: Cross multiply
    322.61x = 482.81 × 199.28
  4. Step 4: Simplify right side
    322.61x = 96,210.97
  5. Step 5: Solve for x
    x = 96,210.97/322.61
  6. Step 6: Final answer
    x = 298.23

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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.