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Finding the Fourth Proportional to 218.18, 298.41 and 214.94

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Solution

The fourth proportional to 218.18, 298.41 and 214.94 is: 293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.18 : 298.41 = 214.94 : x
  2. Step 2: Convert to fraction form
    218.18/298.41 = 214.94/x
  3. Step 3: Cross multiply
    218.18x = 298.41 × 214.94
  4. Step 4: Simplify right side
    218.18x = 64,138.75
  5. Step 5: Solve for x
    x = 64,138.75/218.18
  6. Step 6: Final answer
    x = 293.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.