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Finding the Fourth Proportional to 426.36, 639.51 and 137.77

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Solution

The fourth proportional to 426.36, 639.51 and 137.77 is: 206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.36 : 639.51 = 137.77 : x
  2. Step 2: Convert to fraction form
    426.36/639.51 = 137.77/x
  3. Step 3: Cross multiply
    426.36x = 639.51 × 137.77
  4. Step 4: Simplify right side
    426.36x = 88,105.29
  5. Step 5: Solve for x
    x = 88,105.29/426.36
  6. Step 6: Final answer
    x = 206.65

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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.