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Finding the Fourth Proportional to 197.63, 296.58 and 89.45

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Solution

The fourth proportional to 197.63, 296.58 and 89.45 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.63 : 296.58 = 89.45 : x
  2. Step 2: Convert to fraction form
    197.63/296.58 = 89.45/x
  3. Step 3: Cross multiply
    197.63x = 296.58 × 89.45
  4. Step 4: Simplify right side
    197.63x = 26,527.60
  5. Step 5: Solve for x
    x = 26,527.60/197.63
  6. Step 6: Final answer
    x = 134.23

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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.