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Finding the Fourth Proportional to 485.37, 728.19 and 211.49

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Solution

The fourth proportional to 485.37, 728.19 and 211.49 is: 317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.37 : 728.19 = 211.49 : x
  2. Step 2: Convert to fraction form
    485.37/728.19 = 211.49/x
  3. Step 3: Cross multiply
    485.37x = 728.19 × 211.49
  4. Step 4: Simplify right side
    485.37x = 154,004.90
  5. Step 5: Solve for x
    x = 154,004.90/485.37
  6. Step 6: Final answer
    x = 317.29

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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.