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Finding the Fourth Proportional to 291.78, 402.98 and 273.69

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Solution

The fourth proportional to 291.78, 402.98 and 273.69 is: 377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 402.98 = 273.69 : x
  2. Step 2: Convert to fraction form
    291.78/402.98 = 273.69/x
  3. Step 3: Cross multiply
    291.78x = 402.98 × 273.69
  4. Step 4: Simplify right side
    291.78x = 110,290.23
  5. Step 5: Solve for x
    x = 110,290.23/291.78
  6. Step 6: Final answer
    x = 377.99

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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.