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Finding the Fourth Proportional to 195.15, 294.18 and 181.94

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Solution

The fourth proportional to 195.15, 294.18 and 181.94 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.15 : 294.18 = 181.94 : x
  2. Step 2: Convert to fraction form
    195.15/294.18 = 181.94/x
  3. Step 3: Cross multiply
    195.15x = 294.18 × 181.94
  4. Step 4: Simplify right side
    195.15x = 53,522.32
  5. Step 5: Solve for x
    x = 53,522.32/195.15
  6. Step 6: Final answer
    x = 274.27

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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.