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Finding the Fourth Proportional to 214.31, 321.56 and 111.67

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Solution

The fourth proportional to 214.31, 321.56 and 111.67 is: 167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 321.56 = 111.67 : x
  2. Step 2: Convert to fraction form
    214.31/321.56 = 111.67/x
  3. Step 3: Cross multiply
    214.31x = 321.56 × 111.67
  4. Step 4: Simplify right side
    214.31x = 35,907.24
  5. Step 5: Solve for x
    x = 35,907.24/214.31
  6. Step 6: Final answer
    x = 167.55

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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.