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Finding the Fourth Proportional to 289, 398.34 and 218.94

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Solution

The fourth proportional to 289, 398.34 and 218.94 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 398.34 = 218.94 : x
  2. Step 2: Convert to fraction form
    289/398.34 = 218.94/x
  3. Step 3: Cross multiply
    289x = 398.34 × 218.94
  4. Step 4: Simplify right side
    289x = 87,212.56
  5. Step 5: Solve for x
    x = 87,212.56/289
  6. Step 6: Final answer
    x = 301.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.