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Finding the Fourth Proportional to 283.86, 426.06 and 129.96

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Solution

The fourth proportional to 283.86, 426.06 and 129.96 is: 195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.86 : 426.06 = 129.96 : x
  2. Step 2: Convert to fraction form
    283.86/426.06 = 129.96/x
  3. Step 3: Cross multiply
    283.86x = 426.06 × 129.96
  4. Step 4: Simplify right side
    283.86x = 55,370.76
  5. Step 5: Solve for x
    x = 55,370.76/283.86
  6. Step 6: Final answer
    x = 195.06

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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.