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Finding the Fourth Proportional to 416.18, 574.34 and 239.17

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Solution

The fourth proportional to 416.18, 574.34 and 239.17 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.18 : 574.34 = 239.17 : x
  2. Step 2: Convert to fraction form
    416.18/574.34 = 239.17/x
  3. Step 3: Cross multiply
    416.18x = 574.34 × 239.17
  4. Step 4: Simplify right side
    416.18x = 137,364.30
  5. Step 5: Solve for x
    x = 137,364.30/416.18
  6. Step 6: Final answer
    x = 330.06

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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.