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Finding the Fourth Proportional to 163.78, 245.10 and 112.18

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Solution

The fourth proportional to 163.78, 245.10 and 112.18 is: 167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 245.10 = 112.18 : x
  2. Step 2: Convert to fraction form
    163.78/245.10 = 112.18/x
  3. Step 3: Cross multiply
    163.78x = 245.10 × 112.18
  4. Step 4: Simplify right side
    163.78x = 27,495.32
  5. Step 5: Solve for x
    x = 27,495.32/163.78
  6. Step 6: Final answer
    x = 167.88

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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.