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Finding the Fourth Proportional to 214.09, 320.97 and 105.80

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Solution

The fourth proportional to 214.09, 320.97 and 105.80 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.09 : 320.97 = 105.80 : x
  2. Step 2: Convert to fraction form
    214.09/320.97 = 105.80/x
  3. Step 3: Cross multiply
    214.09x = 320.97 × 105.80
  4. Step 4: Simplify right side
    214.09x = 33,957.02
  5. Step 5: Solve for x
    x = 33,957.02/214.09
  6. Step 6: Final answer
    x = 158.61

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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.