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Finding the Fourth Proportional to 194.65, 291.96 and 57.70

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Solution

The fourth proportional to 194.65, 291.96 and 57.70 is: 86.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.65 : 291.96 = 57.70 : x
  2. Step 2: Convert to fraction form
    194.65/291.96 = 57.70/x
  3. Step 3: Cross multiply
    194.65x = 291.96 × 57.70
  4. Step 4: Simplify right side
    194.65x = 16,845.80
  5. Step 5: Solve for x
    x = 16,845.80/194.65
  6. Step 6: Final answer
    x = 86.54

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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.