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Finding the Fourth Proportional to 214.10, 321.91 and 197.18

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Solution

The fourth proportional to 214.10, 321.91 and 197.18 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.10 : 321.91 = 197.18 : x
  2. Step 2: Convert to fraction form
    214.10/321.91 = 197.18/x
  3. Step 3: Cross multiply
    214.10x = 321.91 × 197.18
  4. Step 4: Simplify right side
    214.10x = 63,474.14
  5. Step 5: Solve for x
    x = 63,474.14/214.10
  6. Step 6: Final answer
    x = 296.48

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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.