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Finding the Fourth Proportional to 842.88, 1,264.28 and 226.57

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Solution

The fourth proportional to 842.88, 1,264.28 and 226.57 is: 339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.88 : 1,264.28 = 226.57 : x
  2. Step 2: Convert to fraction form
    842.88/1,264.28 = 226.57/x
  3. Step 3: Cross multiply
    842.88x = 1,264.28 × 226.57
  4. Step 4: Simplify right side
    842.88x = 286,445.33
  5. Step 5: Solve for x
    x = 286,445.33/842.88
  6. Step 6: Final answer
    x = 339.84

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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.