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Finding the Fourth Proportional to 214.03, 321.35 and 140.67

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Solution

The fourth proportional to 214.03, 321.35 and 140.67 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 321.35 = 140.67 : x
  2. Step 2: Convert to fraction form
    214.03/321.35 = 140.67/x
  3. Step 3: Cross multiply
    214.03x = 321.35 × 140.67
  4. Step 4: Simplify right side
    214.03x = 45,204.30
  5. Step 5: Solve for x
    x = 45,204.30/214.03
  6. Step 6: Final answer
    x = 211.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.