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Finding the Fourth Proportional to 195.84, 294.48 and 187.92

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Solution

The fourth proportional to 195.84, 294.48 and 187.92 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 294.48 = 187.92 : x
  2. Step 2: Convert to fraction form
    195.84/294.48 = 187.92/x
  3. Step 3: Cross multiply
    195.84x = 294.48 × 187.92
  4. Step 4: Simplify right side
    195.84x = 55,338.68
  5. Step 5: Solve for x
    x = 55,338.68/195.84
  6. Step 6: Final answer
    x = 282.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.