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Finding the Fourth Proportional to 912.28, 1,368.31 and 254.20

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Solution

The fourth proportional to 912.28, 1,368.31 and 254.20 is: 381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.28 : 1,368.31 = 254.20 : x
  2. Step 2: Convert to fraction form
    912.28/1,368.31 = 254.20/x
  3. Step 3: Cross multiply
    912.28x = 1,368.31 × 254.20
  4. Step 4: Simplify right side
    912.28x = 347,824.40
  5. Step 5: Solve for x
    x = 347,824.40/912.28
  6. Step 6: Final answer
    x = 381.27

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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.