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Finding the Fourth Proportional to 321.19, 481.80 and 128.81

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Solution

The fourth proportional to 321.19, 481.80 and 128.81 is: 193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.19 : 481.80 = 128.81 : x
  2. Step 2: Convert to fraction form
    321.19/481.80 = 128.81/x
  3. Step 3: Cross multiply
    321.19x = 481.80 × 128.81
  4. Step 4: Simplify right side
    321.19x = 62,062.35
  5. Step 5: Solve for x
    x = 62,062.35/321.19
  6. Step 6: Final answer
    x = 193.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.