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Finding the Fourth Proportional to 301.13, 450.74 and 162.12

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Solution

The fourth proportional to 301.13, 450.74 and 162.12 is: 242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 450.74 = 162.12 : x
  2. Step 2: Convert to fraction form
    301.13/450.74 = 162.12/x
  3. Step 3: Cross multiply
    301.13x = 450.74 × 162.12
  4. Step 4: Simplify right side
    301.13x = 73,073.97
  5. Step 5: Solve for x
    x = 73,073.97/301.13
  6. Step 6: Final answer
    x = 242.67

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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.