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Finding the Fourth Proportional to 444.77, 667.09 and 120.16

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Solution

The fourth proportional to 444.77, 667.09 and 120.16 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.77 : 667.09 = 120.16 : x
  2. Step 2: Convert to fraction form
    444.77/667.09 = 120.16/x
  3. Step 3: Cross multiply
    444.77x = 667.09 × 120.16
  4. Step 4: Simplify right side
    444.77x = 80,157.53
  5. Step 5: Solve for x
    x = 80,157.53/444.77
  6. Step 6: Final answer
    x = 180.22

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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.