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Finding the Fourth Proportional to 310.06, 428.16 and 211.78

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Solution

The fourth proportional to 310.06, 428.16 and 211.78 is: 292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.06 : 428.16 = 211.78 : x
  2. Step 2: Convert to fraction form
    310.06/428.16 = 211.78/x
  3. Step 3: Cross multiply
    310.06x = 428.16 × 211.78
  4. Step 4: Simplify right side
    310.06x = 90,675.72
  5. Step 5: Solve for x
    x = 90,675.72/310.06
  6. Step 6: Final answer
    x = 292.45

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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.