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Finding the Fourth Proportional to 414.06, 570.86 and 339.12

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Solution

The fourth proportional to 414.06, 570.86 and 339.12 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.06 : 570.86 = 339.12 : x
  2. Step 2: Convert to fraction form
    414.06/570.86 = 339.12/x
  3. Step 3: Cross multiply
    414.06x = 570.86 × 339.12
  4. Step 4: Simplify right side
    414.06x = 193,590.04
  5. Step 5: Solve for x
    x = 193,590.04/414.06
  6. Step 6: Final answer
    x = 467.54

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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.