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Finding the Fourth Proportional to 253.33, 381.71 and 208.68

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Solution

The fourth proportional to 253.33, 381.71 and 208.68 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.33 : 381.71 = 208.68 : x
  2. Step 2: Convert to fraction form
    253.33/381.71 = 208.68/x
  3. Step 3: Cross multiply
    253.33x = 381.71 × 208.68
  4. Step 4: Simplify right side
    253.33x = 79,654.33
  5. Step 5: Solve for x
    x = 79,654.33/253.33
  6. Step 6: Final answer
    x = 314.43

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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.