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Finding the Fourth Proportional to 301.61, 449.82 and 272.45

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Solution

The fourth proportional to 301.61, 449.82 and 272.45 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.61 : 449.82 = 272.45 : x
  2. Step 2: Convert to fraction form
    301.61/449.82 = 272.45/x
  3. Step 3: Cross multiply
    301.61x = 449.82 × 272.45
  4. Step 4: Simplify right side
    301.61x = 122,554.58
  5. Step 5: Solve for x
    x = 122,554.58/301.61
  6. Step 6: Final answer
    x = 406.33

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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.