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Finding the Fourth Proportional to 254.78, 381.95 and 132.98

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Solution

The fourth proportional to 254.78, 381.95 and 132.98 is: 199.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.78 : 381.95 = 132.98 : x
  2. Step 2: Convert to fraction form
    254.78/381.95 = 132.98/x
  3. Step 3: Cross multiply
    254.78x = 381.95 × 132.98
  4. Step 4: Simplify right side
    254.78x = 50,791.71
  5. Step 5: Solve for x
    x = 50,791.71/254.78
  6. Step 6: Final answer
    x = 199.36

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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.