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Finding the Fourth Proportional to 148.36, 223.60 and 121.64

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Solution

The fourth proportional to 148.36, 223.60 and 121.64 is: 183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.36 : 223.60 = 121.64 : x
  2. Step 2: Convert to fraction form
    148.36/223.60 = 121.64/x
  3. Step 3: Cross multiply
    148.36x = 223.60 × 121.64
  4. Step 4: Simplify right side
    148.36x = 27,198.70
  5. Step 5: Solve for x
    x = 27,198.70/148.36
  6. Step 6: Final answer
    x = 183.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.