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Finding the Fourth Proportional to 193.40, 267.20 and 138.16

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Solution

The fourth proportional to 193.40, 267.20 and 138.16 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.40 : 267.20 = 138.16 : x
  2. Step 2: Convert to fraction form
    193.40/267.20 = 138.16/x
  3. Step 3: Cross multiply
    193.40x = 267.20 × 138.16
  4. Step 4: Simplify right side
    193.40x = 36,916.35
  5. Step 5: Solve for x
    x = 36,916.35/193.40
  6. Step 6: Final answer
    x = 190.88

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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.