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Finding the Fourth Proportional to 214.22, 321.45 and 86.06

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Solution

The fourth proportional to 214.22, 321.45 and 86.06 is: 129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 321.45 = 86.06 : x
  2. Step 2: Convert to fraction form
    214.22/321.45 = 86.06/x
  3. Step 3: Cross multiply
    214.22x = 321.45 × 86.06
  4. Step 4: Simplify right side
    214.22x = 27,663.99
  5. Step 5: Solve for x
    x = 27,663.99/214.22
  6. Step 6: Final answer
    x = 129.14

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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.