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Finding the Fourth Proportional to 148.44, 203.40 and 146.88

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Solution

The fourth proportional to 148.44, 203.40 and 146.88 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.44 : 203.40 = 146.88 : x
  2. Step 2: Convert to fraction form
    148.44/203.40 = 146.88/x
  3. Step 3: Cross multiply
    148.44x = 203.40 × 146.88
  4. Step 4: Simplify right side
    148.44x = 29,875.39
  5. Step 5: Solve for x
    x = 29,875.39/148.44
  6. Step 6: Final answer
    x = 201.26

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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.