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Finding the Fourth Proportional to 407, 610.26 and 163.64

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Solution

The fourth proportional to 407, 610.26 and 163.64 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 610.26 = 163.64 : x
  2. Step 2: Convert to fraction form
    407/610.26 = 163.64/x
  3. Step 3: Cross multiply
    407x = 610.26 × 163.64
  4. Step 4: Simplify right side
    407x = 99,862.95
  5. Step 5: Solve for x
    x = 99,862.95/407
  6. Step 6: Final answer
    x = 245.36

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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.