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Finding the Fourth Proportional to 322.55, 481.87 and 206.07

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Solution

The fourth proportional to 322.55, 481.87 and 206.07 is: 307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.55 : 481.87 = 206.07 : x
  2. Step 2: Convert to fraction form
    322.55/481.87 = 206.07/x
  3. Step 3: Cross multiply
    322.55x = 481.87 × 206.07
  4. Step 4: Simplify right side
    322.55x = 99,298.95
  5. Step 5: Solve for x
    x = 99,298.95/322.55
  6. Step 6: Final answer
    x = 307.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.