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Finding the Fourth Proportional to 197.78, 296.76 and 101.60

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Solution

The fourth proportional to 197.78, 296.76 and 101.60 is: 152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.76 = 101.60 : x
  2. Step 2: Convert to fraction form
    197.78/296.76 = 101.60/x
  3. Step 3: Cross multiply
    197.78x = 296.76 × 101.60
  4. Step 4: Simplify right side
    197.78x = 30,150.82
  5. Step 5: Solve for x
    x = 30,150.82/197.78
  6. Step 6: Final answer
    x = 152.45

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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.