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Finding the Fourth Proportional to 426.65, 639.94 and 118.48

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Solution

The fourth proportional to 426.65, 639.94 and 118.48 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.65 : 639.94 = 118.48 : x
  2. Step 2: Convert to fraction form
    426.65/639.94 = 118.48/x
  3. Step 3: Cross multiply
    426.65x = 639.94 × 118.48
  4. Step 4: Simplify right side
    426.65x = 75,820.09
  5. Step 5: Solve for x
    x = 75,820.09/426.65
  6. Step 6: Final answer
    x = 177.71

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