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Finding the Fourth Proportional to 331.16, 456.57 and 289.34

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Solution

The fourth proportional to 331.16, 456.57 and 289.34 is: 398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.16 : 456.57 = 289.34 : x
  2. Step 2: Convert to fraction form
    331.16/456.57 = 289.34/x
  3. Step 3: Cross multiply
    331.16x = 456.57 × 289.34
  4. Step 4: Simplify right side
    331.16x = 132,103.96
  5. Step 5: Solve for x
    x = 132,103.96/331.16
  6. Step 6: Final answer
    x = 398.91

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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.