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Finding the Fourth Proportional to 301.43, 451.80 and 267.26

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Solution

The fourth proportional to 301.43, 451.80 and 267.26 is: 400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.43 : 451.80 = 267.26 : x
  2. Step 2: Convert to fraction form
    301.43/451.80 = 267.26/x
  3. Step 3: Cross multiply
    301.43x = 451.80 × 267.26
  4. Step 4: Simplify right side
    301.43x = 120,748.70
  5. Step 5: Solve for x
    x = 120,748.70/301.43
  6. Step 6: Final answer
    x = 400.58

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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.