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Finding the Fourth Proportional to 321, 481.36 and 138.32

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Solution

The fourth proportional to 321, 481.36 and 138.32 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 481.36 = 138.32 : x
  2. Step 2: Convert to fraction form
    321/481.36 = 138.32/x
  3. Step 3: Cross multiply
    321x = 481.36 × 138.32
  4. Step 4: Simplify right side
    321x = 66,581.72
  5. Step 5: Solve for x
    x = 66,581.72/321
  6. Step 6: Final answer
    x = 207.42

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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.