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Finding the Fourth Proportional to 291.96, 402.96 and 193.80

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Solution

The fourth proportional to 291.96, 402.96 and 193.80 is: 267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.96 : 402.96 = 193.80 : x
  2. Step 2: Convert to fraction form
    291.96/402.96 = 193.80/x
  3. Step 3: Cross multiply
    291.96x = 402.96 × 193.80
  4. Step 4: Simplify right side
    291.96x = 78,093.65
  5. Step 5: Solve for x
    x = 78,093.65/291.96
  6. Step 6: Final answer
    x = 267.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.