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Finding the Fourth Proportional to 283.10, 422.98 and 277.96

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Solution

The fourth proportional to 283.10, 422.98 and 277.96 is: 415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.10 : 422.98 = 277.96 : x
  2. Step 2: Convert to fraction form
    283.10/422.98 = 277.96/x
  3. Step 3: Cross multiply
    283.10x = 422.98 × 277.96
  4. Step 4: Simplify right side
    283.10x = 117,571.52
  5. Step 5: Solve for x
    x = 117,571.52/283.10
  6. Step 6: Final answer
    x = 415.30

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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.