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Finding the Fourth Proportional to 283.46, 390.94 and 204.62

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Solution

The fourth proportional to 283.46, 390.94 and 204.62 is: 282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 390.94 = 204.62 : x
  2. Step 2: Convert to fraction form
    283.46/390.94 = 204.62/x
  3. Step 3: Cross multiply
    283.46x = 390.94 × 204.62
  4. Step 4: Simplify right side
    283.46x = 79,991.68
  5. Step 5: Solve for x
    x = 79,991.68/283.46
  6. Step 6: Final answer
    x = 282.20

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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.