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Finding the Fourth Proportional to 301.42, 449.94 and 266.90

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Solution

The fourth proportional to 301.42, 449.94 and 266.90 is: 398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.42 : 449.94 = 266.90 : x
  2. Step 2: Convert to fraction form
    301.42/449.94 = 266.90/x
  3. Step 3: Cross multiply
    301.42x = 449.94 × 266.90
  4. Step 4: Simplify right side
    301.42x = 120,087.65
  5. Step 5: Solve for x
    x = 120,087.65/301.42
  6. Step 6: Final answer
    x = 398.41

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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.