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Finding the Fourth Proportional to 148.62, 205.32 and 99.48

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Solution

The fourth proportional to 148.62, 205.32 and 99.48 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 205.32 = 99.48 : x
  2. Step 2: Convert to fraction form
    148.62/205.32 = 99.48/x
  3. Step 3: Cross multiply
    148.62x = 205.32 × 99.48
  4. Step 4: Simplify right side
    148.62x = 20,425.23
  5. Step 5: Solve for x
    x = 20,425.23/148.62
  6. Step 6: Final answer
    x = 137.43

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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.