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Finding the Fourth Proportional to 148.20, 203.89 and 144.15

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Solution

The fourth proportional to 148.20, 203.89 and 144.15 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.20 : 203.89 = 144.15 : x
  2. Step 2: Convert to fraction form
    148.20/203.89 = 144.15/x
  3. Step 3: Cross multiply
    148.20x = 203.89 × 144.15
  4. Step 4: Simplify right side
    148.20x = 29,390.74
  5. Step 5: Solve for x
    x = 29,390.74/148.20
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.