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Finding the Fourth Proportional to 218.40, 300.40 and 190.81

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Solution

The fourth proportional to 218.40, 300.40 and 190.81 is: 262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.40 : 300.40 = 190.81 : x
  2. Step 2: Convert to fraction form
    218.40/300.40 = 190.81/x
  3. Step 3: Cross multiply
    218.40x = 300.40 × 190.81
  4. Step 4: Simplify right side
    218.40x = 57,319.32
  5. Step 5: Solve for x
    x = 57,319.32/218.40
  6. Step 6: Final answer
    x = 262.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.