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Finding the Fourth Proportional to 300.40, 449.88 and 266.20

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Solution

The fourth proportional to 300.40, 449.88 and 266.20 is: 398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 449.88 = 266.20 : x
  2. Step 2: Convert to fraction form
    300.40/449.88 = 266.20/x
  3. Step 3: Cross multiply
    300.40x = 449.88 × 266.20
  4. Step 4: Simplify right side
    300.40x = 119,758.06
  5. Step 5: Solve for x
    x = 119,758.06/300.40
  6. Step 6: Final answer
    x = 398.66

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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.