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Finding the Fourth Proportional to 310.33, 427.98 and 254.75

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Solution

The fourth proportional to 310.33, 427.98 and 254.75 is: 351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.33 : 427.98 = 254.75 : x
  2. Step 2: Convert to fraction form
    310.33/427.98 = 254.75/x
  3. Step 3: Cross multiply
    310.33x = 427.98 × 254.75
  4. Step 4: Simplify right side
    310.33x = 109,026.72
  5. Step 5: Solve for x
    x = 109,026.72/310.33
  6. Step 6: Final answer
    x = 351.32

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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.