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Finding the Fourth Proportional to 405.66, 605.69 and 367.41

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Solution

The fourth proportional to 405.66, 605.69 and 367.41 is: 548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.66 : 605.69 = 367.41 : x
  2. Step 2: Convert to fraction form
    405.66/605.69 = 367.41/x
  3. Step 3: Cross multiply
    405.66x = 605.69 × 367.41
  4. Step 4: Simplify right side
    405.66x = 222,534.73
  5. Step 5: Solve for x
    x = 222,534.73/405.66
  6. Step 6: Final answer
    x = 548.57

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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.