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Finding the Fourth Proportional to 150.63, 206.49 and 147.87

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Solution

The fourth proportional to 150.63, 206.49 and 147.87 is: 202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 206.49 = 147.87 : x
  2. Step 2: Convert to fraction form
    150.63/206.49 = 147.87/x
  3. Step 3: Cross multiply
    150.63x = 206.49 × 147.87
  4. Step 4: Simplify right side
    150.63x = 30,533.68
  5. Step 5: Solve for x
    x = 30,533.68/150.63
  6. Step 6: Final answer
    x = 202.71

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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.