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Finding the Fourth Proportional to 150.00, 205.65 and 147.27

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Solution

The fourth proportional to 150.00, 205.65 and 147.27 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.00 : 205.65 = 147.27 : x
  2. Step 2: Convert to fraction form
    150.00/205.65 = 147.27/x
  3. Step 3: Cross multiply
    150.00x = 205.65 × 147.27
  4. Step 4: Simplify right side
    150.00x = 30,285.90
  5. Step 5: Solve for x
    x = 30,285.90/150.00
  6. Step 6: Final answer
    x = 201.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.