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Finding the Fourth Proportional to 388.62, 584.15 and 280.89

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Solution

The fourth proportional to 388.62, 584.15 and 280.89 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.62 : 584.15 = 280.89 : x
  2. Step 2: Convert to fraction form
    388.62/584.15 = 280.89/x
  3. Step 3: Cross multiply
    388.62x = 584.15 × 280.89
  4. Step 4: Simplify right side
    388.62x = 164,080.49
  5. Step 5: Solve for x
    x = 164,080.49/388.62
  6. Step 6: Final answer
    x = 422.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.