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Finding the Fourth Proportional to 485.45, 728.19 and 254.03

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Solution

The fourth proportional to 485.45, 728.19 and 254.03 is: 381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.45 : 728.19 = 254.03 : x
  2. Step 2: Convert to fraction form
    485.45/728.19 = 254.03/x
  3. Step 3: Cross multiply
    485.45x = 728.19 × 254.03
  4. Step 4: Simplify right side
    485.45x = 184,982.11
  5. Step 5: Solve for x
    x = 184,982.11/485.45
  6. Step 6: Final answer
    x = 381.05

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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.