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Finding the Fourth Proportional to 321.06, 480.36 and 184.17

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Solution

The fourth proportional to 321.06, 480.36 and 184.17 is: 275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.06 : 480.36 = 184.17 : x
  2. Step 2: Convert to fraction form
    321.06/480.36 = 184.17/x
  3. Step 3: Cross multiply
    321.06x = 480.36 × 184.17
  4. Step 4: Simplify right side
    321.06x = 88,467.90
  5. Step 5: Solve for x
    x = 88,467.90/321.06
  6. Step 6: Final answer
    x = 275.55

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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.