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Finding the Fourth Proportional to 854.85, 1,282.23 and 238.54

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Solution

The fourth proportional to 854.85, 1,282.23 and 238.54 is: 357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.85 : 1,282.23 = 238.54 : x
  2. Step 2: Convert to fraction form
    854.85/1,282.23 = 238.54/x
  3. Step 3: Cross multiply
    854.85x = 1,282.23 × 238.54
  4. Step 4: Simplify right side
    854.85x = 305,862.34
  5. Step 5: Solve for x
    x = 305,862.34/854.85
  6. Step 6: Final answer
    x = 357.80

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Why These Related Problems?

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