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Finding the Fourth Proportional to 407.31, 610.91 and 163.83

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Solution

The fourth proportional to 407.31, 610.91 and 163.83 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.31 : 610.91 = 163.83 : x
  2. Step 2: Convert to fraction form
    407.31/610.91 = 163.83/x
  3. Step 3: Cross multiply
    407.31x = 610.91 × 163.83
  4. Step 4: Simplify right side
    407.31x = 100,084.57
  5. Step 5: Solve for x
    x = 100,084.57/407.31
  6. Step 6: Final answer
    x = 245.72

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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.