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Finding the Fourth Proportional to 301.03, 451.43 and 105.97

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Solution

The fourth proportional to 301.03, 451.43 and 105.97 is: 158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.03 : 451.43 = 105.97 : x
  2. Step 2: Convert to fraction form
    301.03/451.43 = 105.97/x
  3. Step 3: Cross multiply
    301.03x = 451.43 × 105.97
  4. Step 4: Simplify right side
    301.03x = 47,838.04
  5. Step 5: Solve for x
    x = 47,838.04/301.03
  6. Step 6: Final answer
    x = 158.91

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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.