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Finding the Fourth Proportional to 735.20, 1,102.84 and 215.20

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Solution

The fourth proportional to 735.20, 1,102.84 and 215.20 is: 322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.20 : 1,102.84 = 215.20 : x
  2. Step 2: Convert to fraction form
    735.20/1,102.84 = 215.20/x
  3. Step 3: Cross multiply
    735.20x = 1,102.84 × 215.20
  4. Step 4: Simplify right side
    735.20x = 237,331.17
  5. Step 5: Solve for x
    x = 237,331.17/735.20
  6. Step 6: Final answer
    x = 322.81

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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.