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Finding the Fourth Proportional to 426.51, 639.90 and 234

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Solution

The fourth proportional to 426.51, 639.90 and 234 is: 351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.51 : 639.90 = 234 : x
  2. Step 2: Convert to fraction form
    426.51/639.90 = 234/x
  3. Step 3: Cross multiply
    426.51x = 639.90 × 234
  4. Step 4: Simplify right side
    426.51x = 149,736.60
  5. Step 5: Solve for x
    x = 149,736.60/426.51
  6. Step 6: Final answer
    x = 351.07

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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.