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Finding the Fourth Proportional to 263.76, 366.18 and 255.84

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Solution

The fourth proportional to 263.76, 366.18 and 255.84 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 366.18 = 255.84 : x
  2. Step 2: Convert to fraction form
    263.76/366.18 = 255.84/x
  3. Step 3: Cross multiply
    263.76x = 366.18 × 255.84
  4. Step 4: Simplify right side
    263.76x = 93,683.49
  5. Step 5: Solve for x
    x = 93,683.49/263.76
  6. Step 6: Final answer
    x = 355.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.