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Finding the Fourth Proportional to 280.58, 388.83 and 276.66

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Solution

The fourth proportional to 280.58, 388.83 and 276.66 is: 383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.58 : 388.83 = 276.66 : x
  2. Step 2: Convert to fraction form
    280.58/388.83 = 276.66/x
  3. Step 3: Cross multiply
    280.58x = 388.83 × 276.66
  4. Step 4: Simplify right side
    280.58x = 107,573.71
  5. Step 5: Solve for x
    x = 107,573.71/280.58
  6. Step 6: Final answer
    x = 383.40

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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.