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Finding the Fourth Proportional to 284.25, 392.46 and 217.74

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Solution

The fourth proportional to 284.25, 392.46 and 217.74 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 392.46 = 217.74 : x
  2. Step 2: Convert to fraction form
    284.25/392.46 = 217.74/x
  3. Step 3: Cross multiply
    284.25x = 392.46 × 217.74
  4. Step 4: Simplify right side
    284.25x = 85,453.15
  5. Step 5: Solve for x
    x = 85,453.15/284.25
  6. Step 6: Final answer
    x = 300.63

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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.