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Finding the Fourth Proportional to 283.22, 427.18 and 249.40

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Solution

The fourth proportional to 283.22, 427.18 and 249.40 is: 376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 427.18 = 249.40 : x
  2. Step 2: Convert to fraction form
    283.22/427.18 = 249.40/x
  3. Step 3: Cross multiply
    283.22x = 427.18 × 249.40
  4. Step 4: Simplify right side
    283.22x = 106,537.00
  5. Step 5: Solve for x
    x = 106,537.00/283.22
  6. Step 6: Final answer
    x = 376.17

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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.