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Finding the Fourth Proportional to 214.35, 321.65 and 91.05

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Solution

The fourth proportional to 214.35, 321.65 and 91.05 is: 136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.35 : 321.65 = 91.05 : x
  2. Step 2: Convert to fraction form
    214.35/321.65 = 91.05/x
  3. Step 3: Cross multiply
    214.35x = 321.65 × 91.05
  4. Step 4: Simplify right side
    214.35x = 29,286.23
  5. Step 5: Solve for x
    x = 29,286.23/214.35
  6. Step 6: Final answer
    x = 136.63

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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.