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Finding the Fourth Proportional to 284.02, 391.98 and 206.26

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Solution

The fourth proportional to 284.02, 391.98 and 206.26 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.02 : 391.98 = 206.26 : x
  2. Step 2: Convert to fraction form
    284.02/391.98 = 206.26/x
  3. Step 3: Cross multiply
    284.02x = 391.98 × 206.26
  4. Step 4: Simplify right side
    284.02x = 80,849.79
  5. Step 5: Solve for x
    x = 80,849.79/284.02
  6. Step 6: Final answer
    x = 284.66

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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.