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Finding the Fourth Proportional to 287, 396 and 224.72

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Solution

The fourth proportional to 287, 396 and 224.72 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 396 = 224.72 : x
  2. Step 2: Convert to fraction form
    287/396 = 224.72/x
  3. Step 3: Cross multiply
    287x = 396 × 224.72
  4. Step 4: Simplify right side
    287x = 88,989.12
  5. Step 5: Solve for x
    x = 88,989.12/287
  6. Step 6: Final answer
    x = 310.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.