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Finding the Fourth Proportional to 416.04, 574.09 and 239.02

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Solution

The fourth proportional to 416.04, 574.09 and 239.02 is: 329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 574.09 = 239.02 : x
  2. Step 2: Convert to fraction form
    416.04/574.09 = 239.02/x
  3. Step 3: Cross multiply
    416.04x = 574.09 × 239.02
  4. Step 4: Simplify right side
    416.04x = 137,218.99
  5. Step 5: Solve for x
    x = 137,218.99/416.04
  6. Step 6: Final answer
    x = 329.82

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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.