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Finding the Fourth Proportional to 218.45, 301.37 and 190.82

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Solution

The fourth proportional to 218.45, 301.37 and 190.82 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.45 : 301.37 = 190.82 : x
  2. Step 2: Convert to fraction form
    218.45/301.37 = 190.82/x
  3. Step 3: Cross multiply
    218.45x = 301.37 × 190.82
  4. Step 4: Simplify right side
    218.45x = 57,507.42
  5. Step 5: Solve for x
    x = 57,507.42/218.45
  6. Step 6: Final answer
    x = 263.25

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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.