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Finding the Fourth Proportional to 494.32, 682.12 and 273.22

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Solution

The fourth proportional to 494.32, 682.12 and 273.22 is: 377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.32 : 682.12 = 273.22 : x
  2. Step 2: Convert to fraction form
    494.32/682.12 = 273.22/x
  3. Step 3: Cross multiply
    494.32x = 682.12 × 273.22
  4. Step 4: Simplify right side
    494.32x = 186,368.83
  5. Step 5: Solve for x
    x = 186,368.83/494.32
  6. Step 6: Final answer
    x = 377.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.