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Finding the Fourth Proportional to 194.43, 291.50 and 157.92

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Solution

The fourth proportional to 194.43, 291.50 and 157.92 is: 236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.43 : 291.50 = 157.92 : x
  2. Step 2: Convert to fraction form
    194.43/291.50 = 157.92/x
  3. Step 3: Cross multiply
    194.43x = 291.50 × 157.92
  4. Step 4: Simplify right side
    194.43x = 46,032.39
  5. Step 5: Solve for x
    x = 46,032.39/194.43
  6. Step 6: Final answer
    x = 236.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.