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Finding the Fourth Proportional to 197.56, 296.02 and 156.76

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Solution

The fourth proportional to 197.56, 296.02 and 156.76 is: 234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 296.02 = 156.76 : x
  2. Step 2: Convert to fraction form
    197.56/296.02 = 156.76/x
  3. Step 3: Cross multiply
    197.56x = 296.02 × 156.76
  4. Step 4: Simplify right side
    197.56x = 46,404.10
  5. Step 5: Solve for x
    x = 46,404.10/197.56
  6. Step 6: Final answer
    x = 234.89

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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.