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Finding the Fourth Proportional to 322.38, 444.60 and 206.10

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Solution

The fourth proportional to 322.38, 444.60 and 206.10 is: 284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 444.60 = 206.10 : x
  2. Step 2: Convert to fraction form
    322.38/444.60 = 206.10/x
  3. Step 3: Cross multiply
    322.38x = 444.60 × 206.10
  4. Step 4: Simplify right side
    322.38x = 91,632.06
  5. Step 5: Solve for x
    x = 91,632.06/322.38
  6. Step 6: Final answer
    x = 284.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.