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Finding the Fourth Proportional to 118.52, 163.42 and 100.07

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Solution

The fourth proportional to 118.52, 163.42 and 100.07 is: 137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.52 : 163.42 = 100.07 : x
  2. Step 2: Convert to fraction form
    118.52/163.42 = 100.07/x
  3. Step 3: Cross multiply
    118.52x = 163.42 × 100.07
  4. Step 4: Simplify right side
    118.52x = 16,353.44
  5. Step 5: Solve for x
    x = 16,353.44/118.52
  6. Step 6: Final answer
    x = 137.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.