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Finding the Fourth Proportional to 253.14, 381.62 and 236.43

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Solution

The fourth proportional to 253.14, 381.62 and 236.43 is: 356.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.14 : 381.62 = 236.43 : x
  2. Step 2: Convert to fraction form
    253.14/381.62 = 236.43/x
  3. Step 3: Cross multiply
    253.14x = 381.62 × 236.43
  4. Step 4: Simplify right side
    253.14x = 90,225.23
  5. Step 5: Solve for x
    x = 90,225.23/253.14
  6. Step 6: Final answer
    x = 356.42

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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.