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Finding the Fourth Proportional to 193.50, 267.03 and 106.18

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Solution

The fourth proportional to 193.50, 267.03 and 106.18 is: 146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 267.03 = 106.18 : x
  2. Step 2: Convert to fraction form
    193.50/267.03 = 106.18/x
  3. Step 3: Cross multiply
    193.50x = 267.03 × 106.18
  4. Step 4: Simplify right side
    193.50x = 28,352.58
  5. Step 5: Solve for x
    x = 28,352.58/193.50
  6. Step 6: Final answer
    x = 146.52

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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.