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Finding the Fourth Proportional to 440.22, 659.61 and 223.50

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Solution

The fourth proportional to 440.22, 659.61 and 223.50 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.22 : 659.61 = 223.50 : x
  2. Step 2: Convert to fraction form
    440.22/659.61 = 223.50/x
  3. Step 3: Cross multiply
    440.22x = 659.61 × 223.50
  4. Step 4: Simplify right side
    440.22x = 147,422.84
  5. Step 5: Solve for x
    x = 147,422.84/440.22
  6. Step 6: Final answer
    x = 334.88

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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.