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Finding the Fourth Proportional to 301.32, 451.89 and 106.29

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Solution

The fourth proportional to 301.32, 451.89 and 106.29 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.32 : 451.89 = 106.29 : x
  2. Step 2: Convert to fraction form
    301.32/451.89 = 106.29/x
  3. Step 3: Cross multiply
    301.32x = 451.89 × 106.29
  4. Step 4: Simplify right side
    301.32x = 48,031.39
  5. Step 5: Solve for x
    x = 48,031.39/301.32
  6. Step 6: Final answer
    x = 159.40

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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.