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Finding the Fourth Proportional to 310.35, 428.07 and 211.95

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Solution

The fourth proportional to 310.35, 428.07 and 211.95 is: 292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.35 : 428.07 = 211.95 : x
  2. Step 2: Convert to fraction form
    310.35/428.07 = 211.95/x
  3. Step 3: Cross multiply
    310.35x = 428.07 × 211.95
  4. Step 4: Simplify right side
    310.35x = 90,729.44
  5. Step 5: Solve for x
    x = 90,729.44/310.35
  6. Step 6: Final answer
    x = 292.35

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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.