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Finding the Fourth Proportional to 748.16, 1,121.82 and 254.32

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Solution

The fourth proportional to 748.16, 1,121.82 and 254.32 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.16 : 1,121.82 = 254.32 : x
  2. Step 2: Convert to fraction form
    748.16/1,121.82 = 254.32/x
  3. Step 3: Cross multiply
    748.16x = 1,121.82 × 254.32
  4. Step 4: Simplify right side
    748.16x = 285,301.26
  5. Step 5: Solve for x
    x = 285,301.26/748.16
  6. Step 6: Final answer
    x = 381.34

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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.