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Finding the Fourth Proportional to 407.14, 611.17 and 163.83

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Solution

The fourth proportional to 407.14, 611.17 and 163.83 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.14 : 611.17 = 163.83 : x
  2. Step 2: Convert to fraction form
    407.14/611.17 = 163.83/x
  3. Step 3: Cross multiply
    407.14x = 611.17 × 163.83
  4. Step 4: Simplify right side
    407.14x = 100,129.86
  5. Step 5: Solve for x
    x = 100,129.86/407.14
  6. Step 6: Final answer
    x = 245.94

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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.