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Finding the Fourth Proportional to 148.28, 203.16 and 146.48

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Solution

The fourth proportional to 148.28, 203.16 and 146.48 is: 200.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.28 : 203.16 = 146.48 : x
  2. Step 2: Convert to fraction form
    148.28/203.16 = 146.48/x
  3. Step 3: Cross multiply
    148.28x = 203.16 × 146.48
  4. Step 4: Simplify right side
    148.28x = 29,758.88
  5. Step 5: Solve for x
    x = 29,758.88/148.28
  6. Step 6: Final answer
    x = 200.69

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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.