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Finding the Fourth Proportional to 299.36, 410.91 and 265.88

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Solution

The fourth proportional to 299.36, 410.91 and 265.88 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 410.91 = 265.88 : x
  2. Step 2: Convert to fraction form
    299.36/410.91 = 265.88/x
  3. Step 3: Cross multiply
    299.36x = 410.91 × 265.88
  4. Step 4: Simplify right side
    299.36x = 109,252.75
  5. Step 5: Solve for x
    x = 109,252.75/299.36
  6. Step 6: Final answer
    x = 364.95

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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.