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Finding the Fourth Proportional to 283.86, 425.85 and 137.71

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Solution

The fourth proportional to 283.86, 425.85 and 137.71 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.86 : 425.85 = 137.71 : x
  2. Step 2: Convert to fraction form
    283.86/425.85 = 137.71/x
  3. Step 3: Cross multiply
    283.86x = 425.85 × 137.71
  4. Step 4: Simplify right side
    283.86x = 58,643.80
  5. Step 5: Solve for x
    x = 58,643.80/283.86
  6. Step 6: Final answer
    x = 206.59

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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.