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Finding the Fourth Proportional to 214.22, 321.10 and 98.49

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Solution

The fourth proportional to 214.22, 321.10 and 98.49 is: 147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 321.10 = 98.49 : x
  2. Step 2: Convert to fraction form
    214.22/321.10 = 98.49/x
  3. Step 3: Cross multiply
    214.22x = 321.10 × 98.49
  4. Step 4: Simplify right side
    214.22x = 31,625.61
  5. Step 5: Solve for x
    x = 31,625.61/214.22
  6. Step 6: Final answer
    x = 147.63

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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.