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Finding the Fourth Proportional to 407.40, 610.77 and 163.69

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Solution

The fourth proportional to 407.40, 610.77 and 163.69 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 610.77 = 163.69 : x
  2. Step 2: Convert to fraction form
    407.40/610.77 = 163.69/x
  3. Step 3: Cross multiply
    407.40x = 610.77 × 163.69
  4. Step 4: Simplify right side
    407.40x = 99,974.65
  5. Step 5: Solve for x
    x = 99,974.65/407.40
  6. Step 6: Final answer
    x = 245.40

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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.