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Finding the Fourth Proportional to 221.69, 305.72 and 142.87

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Solution

The fourth proportional to 221.69, 305.72 and 142.87 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.69 : 305.72 = 142.87 : x
  2. Step 2: Convert to fraction form
    221.69/305.72 = 142.87/x
  3. Step 3: Cross multiply
    221.69x = 305.72 × 142.87
  4. Step 4: Simplify right side
    221.69x = 43,678.22
  5. Step 5: Solve for x
    x = 43,678.22/221.69
  6. Step 6: Final answer
    x = 197.02

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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.