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Finding the Fourth Proportional to 262.56, 394.74 and 209.12

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Solution

The fourth proportional to 262.56, 394.74 and 209.12 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.56 : 394.74 = 209.12 : x
  2. Step 2: Convert to fraction form
    262.56/394.74 = 209.12/x
  3. Step 3: Cross multiply
    262.56x = 394.74 × 209.12
  4. Step 4: Simplify right side
    262.56x = 82,548.03
  5. Step 5: Solve for x
    x = 82,548.03/262.56
  6. Step 6: Final answer
    x = 314.40

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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.