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Finding the Fourth Proportional to 426.13, 638.02 and 364.41

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Solution

The fourth proportional to 426.13, 638.02 and 364.41 is: 545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.13 : 638.02 = 364.41 : x
  2. Step 2: Convert to fraction form
    426.13/638.02 = 364.41/x
  3. Step 3: Cross multiply
    426.13x = 638.02 × 364.41
  4. Step 4: Simplify right side
    426.13x = 232,500.87
  5. Step 5: Solve for x
    x = 232,500.87/426.13
  6. Step 6: Final answer
    x = 545.61

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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.