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Finding the Fourth Proportional to 148.52, 204.62 and 122.19

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Solution

The fourth proportional to 148.52, 204.62 and 122.19 is: 168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 204.62 = 122.19 : x
  2. Step 2: Convert to fraction form
    148.52/204.62 = 122.19/x
  3. Step 3: Cross multiply
    148.52x = 204.62 × 122.19
  4. Step 4: Simplify right side
    148.52x = 25,001.91
  5. Step 5: Solve for x
    x = 25,001.91/148.52
  6. Step 6: Final answer
    x = 168.35

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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.