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Finding the Fourth Proportional to 735.50, 1,103.22 and 215.48

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Solution

The fourth proportional to 735.50, 1,103.22 and 215.48 is: 323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,103.22 = 215.48 : x
  2. Step 2: Convert to fraction form
    735.50/1,103.22 = 215.48/x
  3. Step 3: Cross multiply
    735.50x = 1,103.22 × 215.48
  4. Step 4: Simplify right side
    735.50x = 237,724.60
  5. Step 5: Solve for x
    x = 237,724.60/735.50
  6. Step 6: Final answer
    x = 323.21

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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.