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Finding the Fourth Proportional to 438.73, 605.67 and 306.07

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Solution

The fourth proportional to 438.73, 605.67 and 306.07 is: 422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.73 : 605.67 = 306.07 : x
  2. Step 2: Convert to fraction form
    438.73/605.67 = 306.07/x
  3. Step 3: Cross multiply
    438.73x = 605.67 × 306.07
  4. Step 4: Simplify right side
    438.73x = 185,377.42
  5. Step 5: Solve for x
    x = 185,377.42/438.73
  6. Step 6: Final answer
    x = 422.53

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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.