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Finding the Fourth Proportional to 194.15, 267.81 and 157.25

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Solution

The fourth proportional to 194.15, 267.81 and 157.25 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.15 : 267.81 = 157.25 : x
  2. Step 2: Convert to fraction form
    194.15/267.81 = 157.25/x
  3. Step 3: Cross multiply
    194.15x = 267.81 × 157.25
  4. Step 4: Simplify right side
    194.15x = 42,113.12
  5. Step 5: Solve for x
    x = 42,113.12/194.15
  6. Step 6: Final answer
    x = 216.91

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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.