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Finding the Fourth Proportional to 191.78, 264.71 and 136.68

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Solution

The fourth proportional to 191.78, 264.71 and 136.68 is: 188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.78 : 264.71 = 136.68 : x
  2. Step 2: Convert to fraction form
    191.78/264.71 = 136.68/x
  3. Step 3: Cross multiply
    191.78x = 264.71 × 136.68
  4. Step 4: Simplify right side
    191.78x = 36,179.91
  5. Step 5: Solve for x
    x = 36,179.91/191.78
  6. Step 6: Final answer
    x = 188.65

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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.