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Finding the Fourth Proportional to 284.18, 391.61 and 205.35

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Solution

The fourth proportional to 284.18, 391.61 and 205.35 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.18 : 391.61 = 205.35 : x
  2. Step 2: Convert to fraction form
    284.18/391.61 = 205.35/x
  3. Step 3: Cross multiply
    284.18x = 391.61 × 205.35
  4. Step 4: Simplify right side
    284.18x = 80,416.09
  5. Step 5: Solve for x
    x = 80,416.09/284.18
  6. Step 6: Final answer
    x = 282.98

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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.