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Finding the Fourth Proportional to 734.20, 1,101.49 and 214.22

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Solution

The fourth proportional to 734.20, 1,101.49 and 214.22 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.20 : 1,101.49 = 214.22 : x
  2. Step 2: Convert to fraction form
    734.20/1,101.49 = 214.22/x
  3. Step 3: Cross multiply
    734.20x = 1,101.49 × 214.22
  4. Step 4: Simplify right side
    734.20x = 235,963.41
  5. Step 5: Solve for x
    x = 235,963.41/734.20
  6. Step 6: Final answer
    x = 321.39

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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.