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Finding the Fourth Proportional to 492.13, 738.20 and 184.02

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Solution

The fourth proportional to 492.13, 738.20 and 184.02 is: 276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.13 : 738.20 = 184.02 : x
  2. Step 2: Convert to fraction form
    492.13/738.20 = 184.02/x
  3. Step 3: Cross multiply
    492.13x = 738.20 × 184.02
  4. Step 4: Simplify right side
    492.13x = 135,843.56
  5. Step 5: Solve for x
    x = 135,843.56/492.13
  6. Step 6: Final answer
    x = 276.03

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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.