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Finding the Fourth Proportional to 218.31, 298.83 and 211.32

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Solution

The fourth proportional to 218.31, 298.83 and 211.32 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 298.83 = 211.32 : x
  2. Step 2: Convert to fraction form
    218.31/298.83 = 211.32/x
  3. Step 3: Cross multiply
    218.31x = 298.83 × 211.32
  4. Step 4: Simplify right side
    218.31x = 63,148.76
  5. Step 5: Solve for x
    x = 63,148.76/218.31
  6. Step 6: Final answer
    x = 289.26

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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.