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Finding the Fourth Proportional to 191.86, 287.30 and 126.66

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Solution

The fourth proportional to 191.86, 287.30 and 126.66 is: 189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.86 : 287.30 = 126.66 : x
  2. Step 2: Convert to fraction form
    191.86/287.30 = 126.66/x
  3. Step 3: Cross multiply
    191.86x = 287.30 × 126.66
  4. Step 4: Simplify right side
    191.86x = 36,388.54
  5. Step 5: Solve for x
    x = 36,388.54/191.86
  6. Step 6: Final answer
    x = 189.67

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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.