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Finding the Fourth Proportional to 303.22, 454.38 and 120.43

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Solution

The fourth proportional to 303.22, 454.38 and 120.43 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.22 : 454.38 = 120.43 : x
  2. Step 2: Convert to fraction form
    303.22/454.38 = 120.43/x
  3. Step 3: Cross multiply
    303.22x = 454.38 × 120.43
  4. Step 4: Simplify right side
    303.22x = 54,720.98
  5. Step 5: Solve for x
    x = 54,720.98/303.22
  6. Step 6: Final answer
    x = 180.47

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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.