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Finding the Fourth Proportional to 287.63, 396.68 and 224.63

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Solution

The fourth proportional to 287.63, 396.68 and 224.63 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.63 : 396.68 = 224.63 : x
  2. Step 2: Convert to fraction form
    287.63/396.68 = 224.63/x
  3. Step 3: Cross multiply
    287.63x = 396.68 × 224.63
  4. Step 4: Simplify right side
    287.63x = 89,104.61
  5. Step 5: Solve for x
    x = 89,104.61/287.63
  6. Step 6: Final answer
    x = 309.79

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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.