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Finding the Fourth Proportional to 308.07, 464.38 and 280.73

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Solution

The fourth proportional to 308.07, 464.38 and 280.73 is: 423.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.07 : 464.38 = 280.73 : x
  2. Step 2: Convert to fraction form
    308.07/464.38 = 280.73/x
  3. Step 3: Cross multiply
    308.07x = 464.38 × 280.73
  4. Step 4: Simplify right side
    308.07x = 130,365.86
  5. Step 5: Solve for x
    x = 130,365.86/308.07
  6. Step 6: Final answer
    x = 423.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.