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Finding the Fourth Proportional to 442.86, 664.24 and 118.21

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Solution

The fourth proportional to 442.86, 664.24 and 118.21 is: 177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 664.24 = 118.21 : x
  2. Step 2: Convert to fraction form
    442.86/664.24 = 118.21/x
  3. Step 3: Cross multiply
    442.86x = 664.24 × 118.21
  4. Step 4: Simplify right side
    442.86x = 78,516.49
  5. Step 5: Solve for x
    x = 78,516.49/442.86
  6. Step 6: Final answer
    x = 177.29

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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.