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Finding the Fourth Proportional to 284.61, 426.24 and 138.09

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Solution

The fourth proportional to 284.61, 426.24 and 138.09 is: 206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 426.24 = 138.09 : x
  2. Step 2: Convert to fraction form
    284.61/426.24 = 138.09/x
  3. Step 3: Cross multiply
    284.61x = 426.24 × 138.09
  4. Step 4: Simplify right side
    284.61x = 58,859.48
  5. Step 5: Solve for x
    x = 58,859.48/284.61
  6. Step 6: Final answer
    x = 206.81

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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.