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Finding the Fourth Proportional to 150.52, 206.42 and 148.90

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Solution

The fourth proportional to 150.52, 206.42 and 148.90 is: 204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 206.42 = 148.90 : x
  2. Step 2: Convert to fraction form
    150.52/206.42 = 148.90/x
  3. Step 3: Cross multiply
    150.52x = 206.42 × 148.90
  4. Step 4: Simplify right side
    150.52x = 30,735.94
  5. Step 5: Solve for x
    x = 30,735.94/150.52
  6. Step 6: Final answer
    x = 204.20

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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.