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Finding the Fourth Proportional to 283.84, 393.55 and 280.40

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Solution

The fourth proportional to 283.84, 393.55 and 280.40 is: 388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 393.55 = 280.40 : x
  2. Step 2: Convert to fraction form
    283.84/393.55 = 280.40/x
  3. Step 3: Cross multiply
    283.84x = 393.55 × 280.40
  4. Step 4: Simplify right side
    283.84x = 110,348.75
  5. Step 5: Solve for x
    x = 110,348.75/283.84
  6. Step 6: Final answer
    x = 388.77

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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.