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Finding the Fourth Proportional to 447.78, 671.62 and 159.22

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Solution

The fourth proportional to 447.78, 671.62 and 159.22 is: 238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.78 : 671.62 = 159.22 : x
  2. Step 2: Convert to fraction form
    447.78/671.62 = 159.22/x
  3. Step 3: Cross multiply
    447.78x = 671.62 × 159.22
  4. Step 4: Simplify right side
    447.78x = 106,935.34
  5. Step 5: Solve for x
    x = 106,935.34/447.78
  6. Step 6: Final answer
    x = 238.81

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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.