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Finding the Fourth Proportional to 197.42, 295.07 and 151.28

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Solution

The fourth proportional to 197.42, 295.07 and 151.28 is: 226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 295.07 = 151.28 : x
  2. Step 2: Convert to fraction form
    197.42/295.07 = 151.28/x
  3. Step 3: Cross multiply
    197.42x = 295.07 × 151.28
  4. Step 4: Simplify right side
    197.42x = 44,635.96
  5. Step 5: Solve for x
    x = 44,635.96/197.42
  6. Step 6: Final answer
    x = 226.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.