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Finding the Fourth Proportional to 426.09, 638.23 and 322.23

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Solution

The fourth proportional to 426.09, 638.23 and 322.23 is: 482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.09 : 638.23 = 322.23 : x
  2. Step 2: Convert to fraction form
    426.09/638.23 = 322.23/x
  3. Step 3: Cross multiply
    426.09x = 638.23 × 322.23
  4. Step 4: Simplify right side
    426.09x = 205,656.85
  5. Step 5: Solve for x
    x = 205,656.85/426.09
  6. Step 6: Final answer
    x = 482.66

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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.