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Finding the Fourth Proportional to 283.99, 426.01 and 78.56

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Solution

The fourth proportional to 283.99, 426.01 and 78.56 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.99 : 426.01 = 78.56 : x
  2. Step 2: Convert to fraction form
    283.99/426.01 = 78.56/x
  3. Step 3: Cross multiply
    283.99x = 426.01 × 78.56
  4. Step 4: Simplify right side
    283.99x = 33,467.35
  5. Step 5: Solve for x
    x = 33,467.35/283.99
  6. Step 6: Final answer
    x = 117.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.