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Finding the Fourth Proportional to 276.86, 383.74 and 260.66

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Solution

The fourth proportional to 276.86, 383.74 and 260.66 is: 361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.86 : 383.74 = 260.66 : x
  2. Step 2: Convert to fraction form
    276.86/383.74 = 260.66/x
  3. Step 3: Cross multiply
    276.86x = 383.74 × 260.66
  4. Step 4: Simplify right side
    276.86x = 100,025.67
  5. Step 5: Solve for x
    x = 100,025.67/276.86
  6. Step 6: Final answer
    x = 361.29

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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.