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Finding the Fourth Proportional to 287.15, 396.42 and 224.84

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Solution

The fourth proportional to 287.15, 396.42 and 224.84 is: 310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.15 : 396.42 = 224.84 : x
  2. Step 2: Convert to fraction form
    287.15/396.42 = 224.84/x
  3. Step 3: Cross multiply
    287.15x = 396.42 × 224.84
  4. Step 4: Simplify right side
    287.15x = 89,131.07
  5. Step 5: Solve for x
    x = 89,131.07/287.15
  6. Step 6: Final answer
    x = 310.40

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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.