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Finding the Fourth Proportional to 301.98, 455.28 and 298.09

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Solution

The fourth proportional to 301.98, 455.28 and 298.09 is: 449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.98 : 455.28 = 298.09 : x
  2. Step 2: Convert to fraction form
    301.98/455.28 = 298.09/x
  3. Step 3: Cross multiply
    301.98x = 455.28 × 298.09
  4. Step 4: Simplify right side
    301.98x = 135,713.42
  5. Step 5: Solve for x
    x = 135,713.42/301.98
  6. Step 6: Final answer
    x = 449.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.