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Finding the Fourth Proportional to 191.60, 286.07 and 157.27

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Solution

The fourth proportional to 191.60, 286.07 and 157.27 is: 234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.60 : 286.07 = 157.27 : x
  2. Step 2: Convert to fraction form
    191.60/286.07 = 157.27/x
  3. Step 3: Cross multiply
    191.60x = 286.07 × 157.27
  4. Step 4: Simplify right side
    191.60x = 44,989.44
  5. Step 5: Solve for x
    x = 44,989.44/191.60
  6. Step 6: Final answer
    x = 234.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.