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Finding the Fourth Proportional to 195.77, 295.21 and 192.12

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Solution

The fourth proportional to 195.77, 295.21 and 192.12 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.77 : 295.21 = 192.12 : x
  2. Step 2: Convert to fraction form
    195.77/295.21 = 192.12/x
  3. Step 3: Cross multiply
    195.77x = 295.21 × 192.12
  4. Step 4: Simplify right side
    195.77x = 56,715.75
  5. Step 5: Solve for x
    x = 56,715.75/195.77
  6. Step 6: Final answer
    x = 289.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.