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Finding the Fourth Proportional to 444.79, 667.14 and 120.12

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Solution

The fourth proportional to 444.79, 667.14 and 120.12 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.79 : 667.14 = 120.12 : x
  2. Step 2: Convert to fraction form
    444.79/667.14 = 120.12/x
  3. Step 3: Cross multiply
    444.79x = 667.14 × 120.12
  4. Step 4: Simplify right side
    444.79x = 80,136.86
  5. Step 5: Solve for x
    x = 80,136.86/444.79
  6. Step 6: Final answer
    x = 180.17

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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.