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Finding the Fourth Proportional to 321.14, 481.66 and 138.53

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Solution

The fourth proportional to 321.14, 481.66 and 138.53 is: 207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.14 : 481.66 = 138.53 : x
  2. Step 2: Convert to fraction form
    321.14/481.66 = 138.53/x
  3. Step 3: Cross multiply
    321.14x = 481.66 × 138.53
  4. Step 4: Simplify right side
    321.14x = 66,724.36
  5. Step 5: Solve for x
    x = 66,724.36/321.14
  6. Step 6: Final answer
    x = 207.77

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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.