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Finding the Fourth Proportional to 283.46, 390.96 and 217.82

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Solution

The fourth proportional to 283.46, 390.96 and 217.82 is: 300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 390.96 = 217.82 : x
  2. Step 2: Convert to fraction form
    283.46/390.96 = 217.82/x
  3. Step 3: Cross multiply
    283.46x = 390.96 × 217.82
  4. Step 4: Simplify right side
    283.46x = 85,158.91
  5. Step 5: Solve for x
    x = 85,158.91/283.46
  6. Step 6: Final answer
    x = 300.43

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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.