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Finding the Fourth Proportional to 426.35, 639.44 and 114.00

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Solution

The fourth proportional to 426.35, 639.44 and 114.00 is: 170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.35 : 639.44 = 114.00 : x
  2. Step 2: Convert to fraction form
    426.35/639.44 = 114.00/x
  3. Step 3: Cross multiply
    426.35x = 639.44 × 114.00
  4. Step 4: Simplify right side
    426.35x = 72,894.56
  5. Step 5: Solve for x
    x = 72,894.56/426.35
  6. Step 6: Final answer
    x = 170.98

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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.