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Finding the Fourth Proportional to 854.96, 1,282.31 and 238.63

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Solution

The fourth proportional to 854.96, 1,282.31 and 238.63 is: 357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.96 : 1,282.31 = 238.63 : x
  2. Step 2: Convert to fraction form
    854.96/1,282.31 = 238.63/x
  3. Step 3: Cross multiply
    854.96x = 1,282.31 × 238.63
  4. Step 4: Simplify right side
    854.96x = 305,997.64
  5. Step 5: Solve for x
    x = 305,997.64/854.96
  6. Step 6: Final answer
    x = 357.91

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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.