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Finding the Fourth Proportional to 734, 1,101.18 and 214.03

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Solution

The fourth proportional to 734, 1,101.18 and 214.03 is: 321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734 : 1,101.18 = 214.03 : x
  2. Step 2: Convert to fraction form
    734/1,101.18 = 214.03/x
  3. Step 3: Cross multiply
    734x = 1,101.18 × 214.03
  4. Step 4: Simplify right side
    734x = 235,685.56
  5. Step 5: Solve for x
    x = 235,685.56/734
  6. Step 6: Final answer
    x = 321.10

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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.