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Finding the Fourth Proportional to 285.11, 393.00 and 206.32

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Solution

The fourth proportional to 285.11, 393.00 and 206.32 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 393.00 = 206.32 : x
  2. Step 2: Convert to fraction form
    285.11/393.00 = 206.32/x
  3. Step 3: Cross multiply
    285.11x = 393.00 × 206.32
  4. Step 4: Simplify right side
    285.11x = 81,083.70
  5. Step 5: Solve for x
    x = 81,083.70/285.11
  6. Step 6: Final answer
    x = 284.39

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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.