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Finding the Fourth Proportional to 192.20, 264.95 and 136.91

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Solution

The fourth proportional to 192.20, 264.95 and 136.91 is: 188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.20 : 264.95 = 136.91 : x
  2. Step 2: Convert to fraction form
    192.20/264.95 = 136.91/x
  3. Step 3: Cross multiply
    192.20x = 264.95 × 136.91
  4. Step 4: Simplify right side
    192.20x = 36,275.31
  5. Step 5: Solve for x
    x = 36,275.31/192.20
  6. Step 6: Final answer
    x = 188.74

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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.