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Finding the Fourth Proportional to 439.64, 659.62 and 165.81

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Solution

The fourth proportional to 439.64, 659.62 and 165.81 is: 248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.64 : 659.62 = 165.81 : x
  2. Step 2: Convert to fraction form
    439.64/659.62 = 165.81/x
  3. Step 3: Cross multiply
    439.64x = 659.62 × 165.81
  4. Step 4: Simplify right side
    439.64x = 109,373.57
  5. Step 5: Solve for x
    x = 109,373.57/439.64
  6. Step 6: Final answer
    x = 248.78

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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.