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Finding the Fourth Proportional to 252.21, 376.69 and 215.77

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Solution

The fourth proportional to 252.21, 376.69 and 215.77 is: 322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.21 : 376.69 = 215.77 : x
  2. Step 2: Convert to fraction form
    252.21/376.69 = 215.77/x
  3. Step 3: Cross multiply
    252.21x = 376.69 × 215.77
  4. Step 4: Simplify right side
    252.21x = 81,278.94
  5. Step 5: Solve for x
    x = 81,278.94/252.21
  6. Step 6: Final answer
    x = 322.27

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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.