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Finding the Fourth Proportional to 218.16, 299.70 and 193.86

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Solution

The fourth proportional to 218.16, 299.70 and 193.86 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.16 : 299.70 = 193.86 : x
  2. Step 2: Convert to fraction form
    218.16/299.70 = 193.86/x
  3. Step 3: Cross multiply
    218.16x = 299.70 × 193.86
  4. Step 4: Simplify right side
    218.16x = 58,099.84
  5. Step 5: Solve for x
    x = 58,099.84/218.16
  6. Step 6: Final answer
    x = 266.32

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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.