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Finding the Fourth Proportional to 289.29, 401.79 and 286.77

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Solution

The fourth proportional to 289.29, 401.79 and 286.77 is: 398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.29 : 401.79 = 286.77 : x
  2. Step 2: Convert to fraction form
    289.29/401.79 = 286.77/x
  3. Step 3: Cross multiply
    289.29x = 401.79 × 286.77
  4. Step 4: Simplify right side
    289.29x = 115,221.32
  5. Step 5: Solve for x
    x = 115,221.32/289.29
  6. Step 6: Final answer
    x = 398.29

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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.