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Finding the Fourth Proportional to 407.32, 610.74 and 163.96

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Solution

The fourth proportional to 407.32, 610.74 and 163.96 is: 245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.32 : 610.74 = 163.96 : x
  2. Step 2: Convert to fraction form
    407.32/610.74 = 163.96/x
  3. Step 3: Cross multiply
    407.32x = 610.74 × 163.96
  4. Step 4: Simplify right side
    407.32x = 100,136.93
  5. Step 5: Solve for x
    x = 100,136.93/407.32
  6. Step 6: Final answer
    x = 245.84

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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.