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Finding the Fourth Proportional to 416.66, 575.26 and 338.33

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Solution

The fourth proportional to 416.66, 575.26 and 338.33 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.66 : 575.26 = 338.33 : x
  2. Step 2: Convert to fraction form
    416.66/575.26 = 338.33/x
  3. Step 3: Cross multiply
    416.66x = 575.26 × 338.33
  4. Step 4: Simplify right side
    416.66x = 194,628.31
  5. Step 5: Solve for x
    x = 194,628.31/416.66
  6. Step 6: Final answer
    x = 467.12

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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.