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Finding the Fourth Proportional to 192.05, 264.75 and 158.73

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Solution

The fourth proportional to 192.05, 264.75 and 158.73 is: 218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 264.75 = 158.73 : x
  2. Step 2: Convert to fraction form
    192.05/264.75 = 158.73/x
  3. Step 3: Cross multiply
    192.05x = 264.75 × 158.73
  4. Step 4: Simplify right side
    192.05x = 42,023.77
  5. Step 5: Solve for x
    x = 42,023.77/192.05
  6. Step 6: Final answer
    x = 218.82

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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.