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Finding the Fourth Proportional to 284.11, 391.84 and 245.23

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Solution

The fourth proportional to 284.11, 391.84 and 245.23 is: 338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.11 : 391.84 = 245.23 : x
  2. Step 2: Convert to fraction form
    284.11/391.84 = 245.23/x
  3. Step 3: Cross multiply
    284.11x = 391.84 × 245.23
  4. Step 4: Simplify right side
    284.11x = 96,089.33
  5. Step 5: Solve for x
    x = 96,089.33/284.11
  6. Step 6: Final answer
    x = 338.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.