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Finding the Fourth Proportional to 193.43, 267.06 and 158.87

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Solution

The fourth proportional to 193.43, 267.06 and 158.87 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 267.06 = 158.87 : x
  2. Step 2: Convert to fraction form
    193.43/267.06 = 158.87/x
  3. Step 3: Cross multiply
    193.43x = 267.06 × 158.87
  4. Step 4: Simplify right side
    193.43x = 42,426.49
  5. Step 5: Solve for x
    x = 42,426.49/193.43
  6. Step 6: Final answer
    x = 219.34

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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.