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Finding the Fourth Proportional to 409.85, 614.78 and 166.35

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Solution

The fourth proportional to 409.85, 614.78 and 166.35 is: 249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.85 : 614.78 = 166.35 : x
  2. Step 2: Convert to fraction form
    409.85/614.78 = 166.35/x
  3. Step 3: Cross multiply
    409.85x = 614.78 × 166.35
  4. Step 4: Simplify right side
    409.85x = 102,267.82
  5. Step 5: Solve for x
    x = 102,267.82/409.85
  6. Step 6: Final answer
    x = 249.53

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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.