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Finding the Fourth Proportional to 197.45, 296.33 and 89.32

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Solution

The fourth proportional to 197.45, 296.33 and 89.32 is: 134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.45 : 296.33 = 89.32 : x
  2. Step 2: Convert to fraction form
    197.45/296.33 = 89.32/x
  3. Step 3: Cross multiply
    197.45x = 296.33 × 89.32
  4. Step 4: Simplify right side
    197.45x = 26,467.45
  5. Step 5: Solve for x
    x = 26,467.45/197.45
  6. Step 6: Final answer
    x = 134.04

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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.