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Finding the Fourth Proportional to 263.85, 394.03 and 260.99

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Solution

The fourth proportional to 263.85, 394.03 and 260.99 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.85 : 394.03 = 260.99 : x
  2. Step 2: Convert to fraction form
    263.85/394.03 = 260.99/x
  3. Step 3: Cross multiply
    263.85x = 394.03 × 260.99
  4. Step 4: Simplify right side
    263.85x = 102,836.58
  5. Step 5: Solve for x
    x = 102,836.58/263.85
  6. Step 6: Final answer
    x = 389.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.