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Finding the Fourth Proportional to 218.75, 301.83 and 148.84

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Solution

The fourth proportional to 218.75, 301.83 and 148.84 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 301.83 = 148.84 : x
  2. Step 2: Convert to fraction form
    218.75/301.83 = 148.84/x
  3. Step 3: Cross multiply
    218.75x = 301.83 × 148.84
  4. Step 4: Simplify right side
    218.75x = 44,923.06
  5. Step 5: Solve for x
    x = 44,923.06/218.75
  6. Step 6: Final answer
    x = 205.36

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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.