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Finding the Fourth Proportional to 416.90, 576.09 and 319.34

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Solution

The fourth proportional to 416.90, 576.09 and 319.34 is: 441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.90 : 576.09 = 319.34 : x
  2. Step 2: Convert to fraction form
    416.90/576.09 = 319.34/x
  3. Step 3: Cross multiply
    416.90x = 576.09 × 319.34
  4. Step 4: Simplify right side
    416.90x = 183,965.70
  5. Step 5: Solve for x
    x = 183,965.70/416.90
  6. Step 6: Final answer
    x = 441.28

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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.