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Finding the Fourth Proportional to 309.11, 423.87 and 298.76

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Solution

The fourth proportional to 309.11, 423.87 and 298.76 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 423.87 = 298.76 : x
  2. Step 2: Convert to fraction form
    309.11/423.87 = 298.76/x
  3. Step 3: Cross multiply
    309.11x = 423.87 × 298.76
  4. Step 4: Simplify right side
    309.11x = 126,633.91
  5. Step 5: Solve for x
    x = 126,633.91/309.11
  6. Step 6: Final answer
    x = 409.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.