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Finding the Fourth Proportional to 218.80, 300.16 and 213.05

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Solution

The fourth proportional to 218.80, 300.16 and 213.05 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 300.16 = 213.05 : x
  2. Step 2: Convert to fraction form
    218.80/300.16 = 213.05/x
  3. Step 3: Cross multiply
    218.80x = 300.16 × 213.05
  4. Step 4: Simplify right side
    218.80x = 63,951.35
  5. Step 5: Solve for x
    x = 63,951.35/218.80
  6. Step 6: Final answer
    x = 292.28

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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.