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Finding the Fourth Proportional to 264.25, 394.52 and 225.75

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Solution

The fourth proportional to 264.25, 394.52 and 225.75 is: 337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.25 : 394.52 = 225.75 : x
  2. Step 2: Convert to fraction form
    264.25/394.52 = 225.75/x
  3. Step 3: Cross multiply
    264.25x = 394.52 × 225.75
  4. Step 4: Simplify right side
    264.25x = 89,062.89
  5. Step 5: Solve for x
    x = 89,062.89/264.25
  6. Step 6: Final answer
    x = 337.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.