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Finding the Fourth Proportional to 148.14, 203.10 and 144.06

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Solution

The fourth proportional to 148.14, 203.10 and 144.06 is: 197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 203.10 = 144.06 : x
  2. Step 2: Convert to fraction form
    148.14/203.10 = 144.06/x
  3. Step 3: Cross multiply
    148.14x = 203.10 × 144.06
  4. Step 4: Simplify right side
    148.14x = 29,258.59
  5. Step 5: Solve for x
    x = 29,258.59/148.14
  6. Step 6: Final answer
    x = 197.51

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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.