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Finding the Fourth Proportional to 410.63, 616.05 and 163.85

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Solution

The fourth proportional to 410.63, 616.05 and 163.85 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.63 : 616.05 = 163.85 : x
  2. Step 2: Convert to fraction form
    410.63/616.05 = 163.85/x
  3. Step 3: Cross multiply
    410.63x = 616.05 × 163.85
  4. Step 4: Simplify right side
    410.63x = 100,939.79
  5. Step 5: Solve for x
    x = 100,939.79/410.63
  6. Step 6: Final answer
    x = 245.82

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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.