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Finding the Fourth Proportional to 289.44, 397.24 and 281.34

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Solution

The fourth proportional to 289.44, 397.24 and 281.34 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.44 : 397.24 = 281.34 : x
  2. Step 2: Convert to fraction form
    289.44/397.24 = 281.34/x
  3. Step 3: Cross multiply
    289.44x = 397.24 × 281.34
  4. Step 4: Simplify right side
    289.44x = 111,758.80
  5. Step 5: Solve for x
    x = 111,758.80/289.44
  6. Step 6: Final answer
    x = 386.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.