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Finding the Fourth Proportional to 322.50, 445.08 and 206.16

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Solution

The fourth proportional to 322.50, 445.08 and 206.16 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.50 : 445.08 = 206.16 : x
  2. Step 2: Convert to fraction form
    322.50/445.08 = 206.16/x
  3. Step 3: Cross multiply
    322.50x = 445.08 × 206.16
  4. Step 4: Simplify right side
    322.50x = 91,757.69
  5. Step 5: Solve for x
    x = 91,757.69/322.50
  6. Step 6: Final answer
    x = 284.52

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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.