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Finding the Fourth Proportional to 218.30, 300.32 and 212.23

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Solution

The fourth proportional to 218.30, 300.32 and 212.23 is: 291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 300.32 = 212.23 : x
  2. Step 2: Convert to fraction form
    218.30/300.32 = 212.23/x
  3. Step 3: Cross multiply
    218.30x = 300.32 × 212.23
  4. Step 4: Simplify right side
    218.30x = 63,735.41
  5. Step 5: Solve for x
    x = 63,735.41/218.30
  6. Step 6: Final answer
    x = 291.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.