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Finding the Fourth Proportional to 310.09, 427.73 and 216.80

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Solution

The fourth proportional to 310.09, 427.73 and 216.80 is: 299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.09 : 427.73 = 216.80 : x
  2. Step 2: Convert to fraction form
    310.09/427.73 = 216.80/x
  3. Step 3: Cross multiply
    310.09x = 427.73 × 216.80
  4. Step 4: Simplify right side
    310.09x = 92,731.85
  5. Step 5: Solve for x
    x = 92,731.85/310.09
  6. Step 6: Final answer
    x = 299.05

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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.