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Finding the Fourth Proportional to 252.43, 376.77 and 211.99

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Solution

The fourth proportional to 252.43, 376.77 and 211.99 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.43 : 376.77 = 211.99 : x
  2. Step 2: Convert to fraction form
    252.43/376.77 = 211.99/x
  3. Step 3: Cross multiply
    252.43x = 376.77 × 211.99
  4. Step 4: Simplify right side
    252.43x = 79,871.47
  5. Step 5: Solve for x
    x = 79,871.47/252.43
  6. Step 6: Final answer
    x = 316.41

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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.