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Finding the Fourth Proportional to 815.17, 1,221.99 and 267.05

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Solution

The fourth proportional to 815.17, 1,221.99 and 267.05 is: 400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.17 : 1,221.99 = 267.05 : x
  2. Step 2: Convert to fraction form
    815.17/1,221.99 = 267.05/x
  3. Step 3: Cross multiply
    815.17x = 1,221.99 × 267.05
  4. Step 4: Simplify right side
    815.17x = 326,335.34
  5. Step 5: Solve for x
    x = 326,335.34/815.17
  6. Step 6: Final answer
    x = 400.33

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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.