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Finding the Fourth Proportional to 308.52, 423.84 and 280.20

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Solution

The fourth proportional to 308.52, 423.84 and 280.20 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.52 : 423.84 = 280.20 : x
  2. Step 2: Convert to fraction form
    308.52/423.84 = 280.20/x
  3. Step 3: Cross multiply
    308.52x = 423.84 × 280.20
  4. Step 4: Simplify right side
    308.52x = 118,759.97
  5. Step 5: Solve for x
    x = 118,759.97/308.52
  6. Step 6: Final answer
    x = 384.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.