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Finding the Fourth Proportional to 280.32, 388.80 and 268.80

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Solution

The fourth proportional to 280.32, 388.80 and 268.80 is: 372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 388.80 = 268.80 : x
  2. Step 2: Convert to fraction form
    280.32/388.80 = 268.80/x
  3. Step 3: Cross multiply
    280.32x = 388.80 × 268.80
  4. Step 4: Simplify right side
    280.32x = 104,509.44
  5. Step 5: Solve for x
    x = 104,509.44/280.32
  6. Step 6: Final answer
    x = 372.82

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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.