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Finding the Fourth Proportional to 439.64, 659.58 and 223.16

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Solution

The fourth proportional to 439.64, 659.58 and 223.16 is: 334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.64 : 659.58 = 223.16 : x
  2. Step 2: Convert to fraction form
    439.64/659.58 = 223.16/x
  3. Step 3: Cross multiply
    439.64x = 659.58 × 223.16
  4. Step 4: Simplify right side
    439.64x = 147,191.87
  5. Step 5: Solve for x
    x = 147,191.87/439.64
  6. Step 6: Final answer
    x = 334.80

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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.