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Finding the Fourth Proportional to 815.25, 1,223.16 and 267.43

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Solution

The fourth proportional to 815.25, 1,223.16 and 267.43 is: 401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.25 : 1,223.16 = 267.43 : x
  2. Step 2: Convert to fraction form
    815.25/1,223.16 = 267.43/x
  3. Step 3: Cross multiply
    815.25x = 1,223.16 × 267.43
  4. Step 4: Simplify right side
    815.25x = 327,109.68
  5. Step 5: Solve for x
    x = 327,109.68/815.25
  6. Step 6: Final answer
    x = 401.24

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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.