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Finding the Fourth Proportional to 451.92, 677.76 and 163.36

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Solution

The fourth proportional to 451.92, 677.76 and 163.36 is: 245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.92 : 677.76 = 163.36 : x
  2. Step 2: Convert to fraction form
    451.92/677.76 = 163.36/x
  3. Step 3: Cross multiply
    451.92x = 677.76 × 163.36
  4. Step 4: Simplify right side
    451.92x = 110,718.87
  5. Step 5: Solve for x
    x = 110,718.87/451.92
  6. Step 6: Final answer
    x = 245.00

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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.