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Finding the Fourth Proportional to 148.35, 204.08 and 122.43

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Solution

The fourth proportional to 148.35, 204.08 and 122.43 is: 168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.35 : 204.08 = 122.43 : x
  2. Step 2: Convert to fraction form
    148.35/204.08 = 122.43/x
  3. Step 3: Cross multiply
    148.35x = 204.08 × 122.43
  4. Step 4: Simplify right side
    148.35x = 24,984.90
  5. Step 5: Solve for x
    x = 24,984.90/148.35
  6. Step 6: Final answer
    x = 168.42

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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.