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Finding the Fourth Proportional to 283.44, 424.98 and 206.88

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Solution

The fourth proportional to 283.44, 424.98 and 206.88 is: 310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.44 : 424.98 = 206.88 : x
  2. Step 2: Convert to fraction form
    283.44/424.98 = 206.88/x
  3. Step 3: Cross multiply
    283.44x = 424.98 × 206.88
  4. Step 4: Simplify right side
    283.44x = 87,919.86
  5. Step 5: Solve for x
    x = 87,919.86/283.44
  6. Step 6: Final answer
    x = 310.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.