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Finding the Fourth Proportional to 405.27, 605.70 and 327.42

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Solution

The fourth proportional to 405.27, 605.70 and 327.42 is: 489.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.27 : 605.70 = 327.42 : x
  2. Step 2: Convert to fraction form
    405.27/605.70 = 327.42/x
  3. Step 3: Cross multiply
    405.27x = 605.70 × 327.42
  4. Step 4: Simplify right side
    405.27x = 198,318.29
  5. Step 5: Solve for x
    x = 198,318.29/405.27
  6. Step 6: Final answer
    x = 489.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.