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Finding the Fourth Proportional to 409.82, 614.86 and 166.36

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Solution

The fourth proportional to 409.82, 614.86 and 166.36 is: 249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 614.86 = 166.36 : x
  2. Step 2: Convert to fraction form
    409.82/614.86 = 166.36/x
  3. Step 3: Cross multiply
    409.82x = 614.86 × 166.36
  4. Step 4: Simplify right side
    409.82x = 102,288.11
  5. Step 5: Solve for x
    x = 102,288.11/409.82
  6. Step 6: Final answer
    x = 249.59

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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.