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Finding the Fourth Proportional to 289.05, 398.94 and 170.97

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Solution

The fourth proportional to 289.05, 398.94 and 170.97 is: 235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.05 : 398.94 = 170.97 : x
  2. Step 2: Convert to fraction form
    289.05/398.94 = 170.97/x
  3. Step 3: Cross multiply
    289.05x = 398.94 × 170.97
  4. Step 4: Simplify right side
    289.05x = 68,206.77
  5. Step 5: Solve for x
    x = 68,206.77/289.05
  6. Step 6: Final answer
    x = 235.97

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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.