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Finding the Fourth Proportional to 297.26, 412.33 and 289.34

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Solution

The fourth proportional to 297.26, 412.33 and 289.34 is: 401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 412.33 = 289.34 : x
  2. Step 2: Convert to fraction form
    297.26/412.33 = 289.34/x
  3. Step 3: Cross multiply
    297.26x = 412.33 × 289.34
  4. Step 4: Simplify right side
    297.26x = 119,302.12
  5. Step 5: Solve for x
    x = 119,302.12/297.26
  6. Step 6: Final answer
    x = 401.34

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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.