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Finding the Fourth Proportional to 197.92, 297.16 and 89.92

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Solution

The fourth proportional to 197.92, 297.16 and 89.92 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 297.16 = 89.92 : x
  2. Step 2: Convert to fraction form
    197.92/297.16 = 89.92/x
  3. Step 3: Cross multiply
    197.92x = 297.16 × 89.92
  4. Step 4: Simplify right side
    197.92x = 26,720.63
  5. Step 5: Solve for x
    x = 26,720.63/197.92
  6. Step 6: Final answer
    x = 135.01

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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.