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Finding the Fourth Proportional to 439.46, 659.28 and 165.56

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Solution

The fourth proportional to 439.46, 659.28 and 165.56 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.46 : 659.28 = 165.56 : x
  2. Step 2: Convert to fraction form
    439.46/659.28 = 165.56/x
  3. Step 3: Cross multiply
    439.46x = 659.28 × 165.56
  4. Step 4: Simplify right side
    439.46x = 109,150.40
  5. Step 5: Solve for x
    x = 109,150.40/439.46
  6. Step 6: Final answer
    x = 248.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.