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Finding the Fourth Proportional to 414.14, 571.58 and 239.45

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Solution

The fourth proportional to 414.14, 571.58 and 239.45 is: 330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 571.58 = 239.45 : x
  2. Step 2: Convert to fraction form
    414.14/571.58 = 239.45/x
  3. Step 3: Cross multiply
    414.14x = 571.58 × 239.45
  4. Step 4: Simplify right side
    414.14x = 136,864.83
  5. Step 5: Solve for x
    x = 136,864.83/414.14
  6. Step 6: Final answer
    x = 330.48

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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.