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Finding the Fourth Proportional to 438.90, 605.79 and 308.22

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Solution

The fourth proportional to 438.90, 605.79 and 308.22 is: 425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.90 : 605.79 = 308.22 : x
  2. Step 2: Convert to fraction form
    438.90/605.79 = 308.22/x
  3. Step 3: Cross multiply
    438.90x = 605.79 × 308.22
  4. Step 4: Simplify right side
    438.90x = 186,716.59
  5. Step 5: Solve for x
    x = 186,716.59/438.90
  6. Step 6: Final answer
    x = 425.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.