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Finding the Fourth Proportional to 283.26, 427.35 and 274.80

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Solution

The fourth proportional to 283.26, 427.35 and 274.80 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 427.35 = 274.80 : x
  2. Step 2: Convert to fraction form
    283.26/427.35 = 274.80/x
  3. Step 3: Cross multiply
    283.26x = 427.35 × 274.80
  4. Step 4: Simplify right side
    283.26x = 117,435.78
  5. Step 5: Solve for x
    x = 117,435.78/283.26
  6. Step 6: Final answer
    x = 414.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.