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Finding the Fourth Proportional to 283.52, 422.84 and 259.94

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Solution

The fourth proportional to 283.52, 422.84 and 259.94 is: 387.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.52 : 422.84 = 259.94 : x
  2. Step 2: Convert to fraction form
    283.52/422.84 = 259.94/x
  3. Step 3: Cross multiply
    283.52x = 422.84 × 259.94
  4. Step 4: Simplify right side
    283.52x = 109,910.59
  5. Step 5: Solve for x
    x = 109,910.59/283.52
  6. Step 6: Final answer
    x = 387.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.