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Finding the Fourth Proportional to 426.96, 639.90 and 282.51

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Solution

The fourth proportional to 426.96, 639.90 and 282.51 is: 423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 639.90 = 282.51 : x
  2. Step 2: Convert to fraction form
    426.96/639.90 = 282.51/x
  3. Step 3: Cross multiply
    426.96x = 639.90 × 282.51
  4. Step 4: Simplify right side
    426.96x = 180,778.15
  5. Step 5: Solve for x
    x = 180,778.15/426.96
  6. Step 6: Final answer
    x = 423.41

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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.