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Finding the Fourth Proportional to 283.68, 426 and 220.08

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Solution

The fourth proportional to 283.68, 426 and 220.08 is: 330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.68 : 426 = 220.08 : x
  2. Step 2: Convert to fraction form
    283.68/426 = 220.08/x
  3. Step 3: Cross multiply
    283.68x = 426 × 220.08
  4. Step 4: Simplify right side
    283.68x = 93,754.08
  5. Step 5: Solve for x
    x = 93,754.08/283.68
  6. Step 6: Final answer
    x = 330.49

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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.