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Finding the Fourth Proportional to 284.27, 425.71 and 197.35

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Solution

The fourth proportional to 284.27, 425.71 and 197.35 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.27 : 425.71 = 197.35 : x
  2. Step 2: Convert to fraction form
    284.27/425.71 = 197.35/x
  3. Step 3: Cross multiply
    284.27x = 425.71 × 197.35
  4. Step 4: Simplify right side
    284.27x = 84,013.87
  5. Step 5: Solve for x
    x = 84,013.87/284.27
  6. Step 6: Final answer
    x = 295.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.