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Finding the Fourth Proportional to 252.08, 376.14 and 211.58

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Solution

The fourth proportional to 252.08, 376.14 and 211.58 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 376.14 = 211.58 : x
  2. Step 2: Convert to fraction form
    252.08/376.14 = 211.58/x
  3. Step 3: Cross multiply
    252.08x = 376.14 × 211.58
  4. Step 4: Simplify right side
    252.08x = 79,583.70
  5. Step 5: Solve for x
    x = 79,583.70/252.08
  6. Step 6: Final answer
    x = 315.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.