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Finding the Fourth Proportional to 253.18, 381.97 and 252.51

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Solution

The fourth proportional to 253.18, 381.97 and 252.51 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 381.97 = 252.51 : x
  2. Step 2: Convert to fraction form
    253.18/381.97 = 252.51/x
  3. Step 3: Cross multiply
    253.18x = 381.97 × 252.51
  4. Step 4: Simplify right side
    253.18x = 96,451.24
  5. Step 5: Solve for x
    x = 96,451.24/253.18
  6. Step 6: Final answer
    x = 380.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.