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Finding the Fourth Proportional to 322.74, 484.56 and 201.69

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Solution

The fourth proportional to 322.74, 484.56 and 201.69 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 484.56 = 201.69 : x
  2. Step 2: Convert to fraction form
    322.74/484.56 = 201.69/x
  3. Step 3: Cross multiply
    322.74x = 484.56 × 201.69
  4. Step 4: Simplify right side
    322.74x = 97,730.91
  5. Step 5: Solve for x
    x = 97,730.91/322.74
  6. Step 6: Final answer
    x = 302.82

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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.