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Finding the Fourth Proportional to 416.84, 574.75 and 311.75

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Solution

The fourth proportional to 416.84, 574.75 and 311.75 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.84 : 574.75 = 311.75 : x
  2. Step 2: Convert to fraction form
    416.84/574.75 = 311.75/x
  3. Step 3: Cross multiply
    416.84x = 574.75 × 311.75
  4. Step 4: Simplify right side
    416.84x = 179,177.98
  5. Step 5: Solve for x
    x = 179,177.98/416.84
  6. Step 6: Final answer
    x = 429.85

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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.