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Finding the Fourth Proportional to 216.25, 298.43 and 142.69

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Solution

The fourth proportional to 216.25, 298.43 and 142.69 is: 196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.25 : 298.43 = 142.69 : x
  2. Step 2: Convert to fraction form
    216.25/298.43 = 142.69/x
  3. Step 3: Cross multiply
    216.25x = 298.43 × 142.69
  4. Step 4: Simplify right side
    216.25x = 42,582.98
  5. Step 5: Solve for x
    x = 42,582.98/216.25
  6. Step 6: Final answer
    x = 196.92

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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.