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Finding the Fourth Proportional to 197.82, 297.24 and 192.18

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Solution

The fourth proportional to 197.82, 297.24 and 192.18 is: 288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 297.24 = 192.18 : x
  2. Step 2: Convert to fraction form
    197.82/297.24 = 192.18/x
  3. Step 3: Cross multiply
    197.82x = 297.24 × 192.18
  4. Step 4: Simplify right side
    197.82x = 57,123.58
  5. Step 5: Solve for x
    x = 57,123.58/197.82
  6. Step 6: Final answer
    x = 288.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.