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Finding the Fourth Proportional to 416.41, 574.66 and 239.37

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Solution

The fourth proportional to 416.41, 574.66 and 239.37 is: 330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.41 : 574.66 = 239.37 : x
  2. Step 2: Convert to fraction form
    416.41/574.66 = 239.37/x
  3. Step 3: Cross multiply
    416.41x = 574.66 × 239.37
  4. Step 4: Simplify right side
    416.41x = 137,559.65
  5. Step 5: Solve for x
    x = 137,559.65/416.41
  6. Step 6: Final answer
    x = 330.35

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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.