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Finding the Fourth Proportional to 280.03, 388.21 and 265.21

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Solution

The fourth proportional to 280.03, 388.21 and 265.21 is: 367.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.03 : 388.21 = 265.21 : x
  2. Step 2: Convert to fraction form
    280.03/388.21 = 265.21/x
  3. Step 3: Cross multiply
    280.03x = 388.21 × 265.21
  4. Step 4: Simplify right side
    280.03x = 102,956.56
  5. Step 5: Solve for x
    x = 102,956.56/280.03
  6. Step 6: Final answer
    x = 367.66

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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.