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Finding the Fourth Proportional to 283.54, 427.01 and 249.67

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Solution

The fourth proportional to 283.54, 427.01 and 249.67 is: 376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.54 : 427.01 = 249.67 : x
  2. Step 2: Convert to fraction form
    283.54/427.01 = 249.67/x
  3. Step 3: Cross multiply
    283.54x = 427.01 × 249.67
  4. Step 4: Simplify right side
    283.54x = 106,611.59
  5. Step 5: Solve for x
    x = 106,611.59/283.54
  6. Step 6: Final answer
    x = 376.00

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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.