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Finding the Fourth Proportional to 440, 660.02 and 220.50

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Solution

The fourth proportional to 440, 660.02 and 220.50 is: 330.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440 : 660.02 = 220.50 : x
  2. Step 2: Convert to fraction form
    440/660.02 = 220.50/x
  3. Step 3: Cross multiply
    440x = 660.02 × 220.50
  4. Step 4: Simplify right side
    440x = 145,534.41
  5. Step 5: Solve for x
    x = 145,534.41/440
  6. Step 6: Final answer
    x = 330.76

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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.