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Finding the Fourth Proportional to 150, 225 and 148.20

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Solution

The fourth proportional to 150, 225 and 148.20 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 225 = 148.20 : x
  2. Step 2: Convert to fraction form
    150/225 = 148.20/x
  3. Step 3: Cross multiply
    150x = 225 × 148.20
  4. Step 4: Simplify right side
    150x = 33,345
  5. Step 5: Solve for x
    x = 33,345/150
  6. Step 6: Final answer
    x = 222.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.