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Finding the Fourth Proportional to 146.37, 218.57 and 121.77

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Solution

The fourth proportional to 146.37, 218.57 and 121.77 is: 181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 218.57 = 121.77 : x
  2. Step 2: Convert to fraction form
    146.37/218.57 = 121.77/x
  3. Step 3: Cross multiply
    146.37x = 218.57 × 121.77
  4. Step 4: Simplify right side
    146.37x = 26,614.66
  5. Step 5: Solve for x
    x = 26,614.66/146.37
  6. Step 6: Final answer
    x = 181.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.