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Finding the Fourth Proportional to 194.03, 291.05 and 47.78

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Solution

The fourth proportional to 194.03, 291.05 and 47.78 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.03 : 291.05 = 47.78 : x
  2. Step 2: Convert to fraction form
    194.03/291.05 = 47.78/x
  3. Step 3: Cross multiply
    194.03x = 291.05 × 47.78
  4. Step 4: Simplify right side
    194.03x = 13,906.70
  5. Step 5: Solve for x
    x = 13,906.70/194.03
  6. Step 6: Final answer
    x = 71.67

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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.