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Finding the Fourth Proportional to 192.05, 264.82 and 136.77

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Solution

The fourth proportional to 192.05, 264.82 and 136.77 is: 188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 264.82 = 136.77 : x
  2. Step 2: Convert to fraction form
    192.05/264.82 = 136.77/x
  3. Step 3: Cross multiply
    192.05x = 264.82 × 136.77
  4. Step 4: Simplify right side
    192.05x = 36,218.35
  5. Step 5: Solve for x
    x = 36,218.35/192.05
  6. Step 6: Final answer
    x = 188.59

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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.