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Finding the Fourth Proportional to 218.10, 300.64 and 193.50

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Solution

The fourth proportional to 218.10, 300.64 and 193.50 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 300.64 = 193.50 : x
  2. Step 2: Convert to fraction form
    218.10/300.64 = 193.50/x
  3. Step 3: Cross multiply
    218.10x = 300.64 × 193.50
  4. Step 4: Simplify right side
    218.10x = 58,173.84
  5. Step 5: Solve for x
    x = 58,173.84/218.10
  6. Step 6: Final answer
    x = 266.73

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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.