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Finding the Fourth Proportional to 443.68, 665.34 and 187

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Solution

The fourth proportional to 443.68, 665.34 and 187 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.68 : 665.34 = 187 : x
  2. Step 2: Convert to fraction form
    443.68/665.34 = 187/x
  3. Step 3: Cross multiply
    443.68x = 665.34 × 187
  4. Step 4: Simplify right side
    443.68x = 124,418.58
  5. Step 5: Solve for x
    x = 124,418.58/443.68
  6. Step 6: Final answer
    x = 280.42

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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.