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Finding the Fourth Proportional to 291.36, 399.66 and 274.80

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Solution

The fourth proportional to 291.36, 399.66 and 274.80 is: 376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.36 : 399.66 = 274.80 : x
  2. Step 2: Convert to fraction form
    291.36/399.66 = 274.80/x
  3. Step 3: Cross multiply
    291.36x = 399.66 × 274.80
  4. Step 4: Simplify right side
    291.36x = 109,826.57
  5. Step 5: Solve for x
    x = 109,826.57/291.36
  6. Step 6: Final answer
    x = 376.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.