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Finding the Fourth Proportional to 481.94, 721.40 and 366.82

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Solution

The fourth proportional to 481.94, 721.40 and 366.82 is: 549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.94 : 721.40 = 366.82 : x
  2. Step 2: Convert to fraction form
    481.94/721.40 = 366.82/x
  3. Step 3: Cross multiply
    481.94x = 721.40 × 366.82
  4. Step 4: Simplify right side
    481.94x = 264,623.95
  5. Step 5: Solve for x
    x = 264,623.95/481.94
  6. Step 6: Final answer
    x = 549.08

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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.