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Finding the Fourth Proportional to 407.20, 610.78 and 163.66

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Solution

The fourth proportional to 407.20, 610.78 and 163.66 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.20 : 610.78 = 163.66 : x
  2. Step 2: Convert to fraction form
    407.20/610.78 = 163.66/x
  3. Step 3: Cross multiply
    407.20x = 610.78 × 163.66
  4. Step 4: Simplify right side
    407.20x = 99,960.25
  5. Step 5: Solve for x
    x = 99,960.25/407.20
  6. Step 6: Final answer
    x = 245.48

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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.