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Finding the Fourth Proportional to 163.78, 245.67 and 102.76

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Solution

The fourth proportional to 163.78, 245.67 and 102.76 is: 154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 245.67 = 102.76 : x
  2. Step 2: Convert to fraction form
    163.78/245.67 = 102.76/x
  3. Step 3: Cross multiply
    163.78x = 245.67 × 102.76
  4. Step 4: Simplify right side
    163.78x = 25,245.05
  5. Step 5: Solve for x
    x = 25,245.05/163.78
  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.