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Finding the Fourth Proportional to 163.57, 245.36 and 76.88

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Solution

The fourth proportional to 163.57, 245.36 and 76.88 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.57 : 245.36 = 76.88 : x
  2. Step 2: Convert to fraction form
    163.57/245.36 = 76.88/x
  3. Step 3: Cross multiply
    163.57x = 245.36 × 76.88
  4. Step 4: Simplify right side
    163.57x = 18,863.28
  5. Step 5: Solve for x
    x = 18,863.28/163.57
  6. Step 6: Final answer
    x = 115.32

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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.