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Finding the Fourth Proportional to 321, 480.96 and 138.30

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Solution

The fourth proportional to 321, 480.96 and 138.30 is: 207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321 : 480.96 = 138.30 : x
  2. Step 2: Convert to fraction form
    321/480.96 = 138.30/x
  3. Step 3: Cross multiply
    321x = 480.96 × 138.30
  4. Step 4: Simplify right side
    321x = 66,516.77
  5. Step 5: Solve for x
    x = 66,516.77/321
  6. Step 6: Final answer
    x = 207.22

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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.