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Finding the Fourth Proportional to 218.80, 301.81 and 153.19

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Solution

The fourth proportional to 218.80, 301.81 and 153.19 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 301.81 = 153.19 : x
  2. Step 2: Convert to fraction form
    218.80/301.81 = 153.19/x
  3. Step 3: Cross multiply
    218.80x = 301.81 × 153.19
  4. Step 4: Simplify right side
    218.80x = 46,234.27
  5. Step 5: Solve for x
    x = 46,234.27/218.80
  6. Step 6: Final answer
    x = 211.31

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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.