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Finding the Fourth Proportional to 150.82, 205.45 and 147.85

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Solution

The fourth proportional to 150.82, 205.45 and 147.85 is: 201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 205.45 = 147.85 : x
  2. Step 2: Convert to fraction form
    150.82/205.45 = 147.85/x
  3. Step 3: Cross multiply
    150.82x = 205.45 × 147.85
  4. Step 4: Simplify right side
    150.82x = 30,375.78
  5. Step 5: Solve for x
    x = 30,375.78/150.82
  6. Step 6: Final answer
    x = 201.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.