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Finding the Fourth Proportional to 192.52, 264.99 and 161.08

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Solution

The fourth proportional to 192.52, 264.99 and 161.08 is: 221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 264.99 = 161.08 : x
  2. Step 2: Convert to fraction form
    192.52/264.99 = 161.08/x
  3. Step 3: Cross multiply
    192.52x = 264.99 × 161.08
  4. Step 4: Simplify right side
    192.52x = 42,684.59
  5. Step 5: Solve for x
    x = 42,684.59/192.52
  6. Step 6: Final answer
    x = 221.72

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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.