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Finding the Fourth Proportional to 416.37, 574.63 and 311.27

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Solution

The fourth proportional to 416.37, 574.63 and 311.27 is: 429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.37 : 574.63 = 311.27 : x
  2. Step 2: Convert to fraction form
    416.37/574.63 = 311.27/x
  3. Step 3: Cross multiply
    416.37x = 574.63 × 311.27
  4. Step 4: Simplify right side
    416.37x = 178,864.36
  5. Step 5: Solve for x
    x = 178,864.36/416.37
  6. Step 6: Final answer
    x = 429.59

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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.