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Finding the Fourth Proportional to 214.31, 320.78 and 111.45

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Solution

The fourth proportional to 214.31, 320.78 and 111.45 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 320.78 = 111.45 : x
  2. Step 2: Convert to fraction form
    214.31/320.78 = 111.45/x
  3. Step 3: Cross multiply
    214.31x = 320.78 × 111.45
  4. Step 4: Simplify right side
    214.31x = 35,750.37
  5. Step 5: Solve for x
    x = 35,750.37/214.31
  6. Step 6: Final answer
    x = 166.81

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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.