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Finding the Fourth Proportional to 301.19, 449.63 and 287.90

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Solution

The fourth proportional to 301.19, 449.63 and 287.90 is: 429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.19 : 449.63 = 287.90 : x
  2. Step 2: Convert to fraction form
    301.19/449.63 = 287.90/x
  3. Step 3: Cross multiply
    301.19x = 449.63 × 287.90
  4. Step 4: Simplify right side
    301.19x = 129,446.41
  5. Step 5: Solve for x
    x = 129,446.41/301.19
  6. Step 6: Final answer
    x = 429.78

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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.