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Finding the Fourth Proportional to 301.29, 450.96 and 162.11

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Solution

The fourth proportional to 301.29, 450.96 and 162.11 is: 242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.29 : 450.96 = 162.11 : x
  2. Step 2: Convert to fraction form
    301.29/450.96 = 162.11/x
  3. Step 3: Cross multiply
    301.29x = 450.96 × 162.11
  4. Step 4: Simplify right side
    301.29x = 73,105.65
  5. Step 5: Solve for x
    x = 73,105.65/301.29
  6. Step 6: Final answer
    x = 242.65

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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.