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Finding the Fourth Proportional to 194.81, 267.98 and 157.88

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Solution

The fourth proportional to 194.81, 267.98 and 157.88 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.81 : 267.98 = 157.88 : x
  2. Step 2: Convert to fraction form
    194.81/267.98 = 157.88/x
  3. Step 3: Cross multiply
    194.81x = 267.98 × 157.88
  4. Step 4: Simplify right side
    194.81x = 42,308.56
  5. Step 5: Solve for x
    x = 42,308.56/194.81
  6. Step 6: Final answer
    x = 217.18

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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.