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Finding the Fourth Proportional to 216.36, 298.63 and 142.69

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Solution

The fourth proportional to 216.36, 298.63 and 142.69 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 298.63 = 142.69 : x
  2. Step 2: Convert to fraction form
    216.36/298.63 = 142.69/x
  3. Step 3: Cross multiply
    216.36x = 298.63 × 142.69
  4. Step 4: Simplify right side
    216.36x = 42,611.16
  5. Step 5: Solve for x
    x = 42,611.16/216.36
  6. Step 6: Final answer
    x = 196.94

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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.