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Finding the Fourth Proportional to 254.07, 381.23 and 249.98

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Solution

The fourth proportional to 254.07, 381.23 and 249.98 is: 375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.07 : 381.23 = 249.98 : x
  2. Step 2: Convert to fraction form
    254.07/381.23 = 249.98/x
  3. Step 3: Cross multiply
    254.07x = 381.23 × 249.98
  4. Step 4: Simplify right side
    254.07x = 95,297.66
  5. Step 5: Solve for x
    x = 95,297.66/254.07
  6. Step 6: Final answer
    x = 375.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.