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Finding the Fourth Proportional to 163.82, 245.71 and 102.77

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Solution

The fourth proportional to 163.82, 245.71 and 102.77 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 245.71 = 102.77 : x
  2. Step 2: Convert to fraction form
    163.82/245.71 = 102.77/x
  3. Step 3: Cross multiply
    163.82x = 245.71 × 102.77
  4. Step 4: Simplify right side
    163.82x = 25,249.87
  5. Step 5: Solve for x
    x = 25,249.87/163.82
  6. Step 6: Final answer
    x = 154.14

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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.