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Finding the Fourth Proportional to 231.29, 320.83 and 218.99

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Solution

The fourth proportional to 231.29, 320.83 and 218.99 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 320.83 = 218.99 : x
  2. Step 2: Convert to fraction form
    231.29/320.83 = 218.99/x
  3. Step 3: Cross multiply
    231.29x = 320.83 × 218.99
  4. Step 4: Simplify right side
    231.29x = 70,258.56
  5. Step 5: Solve for x
    x = 70,258.56/231.29
  6. Step 6: Final answer
    x = 303.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.