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Finding the Fourth Proportional to 293.73, 407.78 and 284.82

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Solution

The fourth proportional to 293.73, 407.78 and 284.82 is: 395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.73 : 407.78 = 284.82 : x
  2. Step 2: Convert to fraction form
    293.73/407.78 = 284.82/x
  3. Step 3: Cross multiply
    293.73x = 407.78 × 284.82
  4. Step 4: Simplify right side
    293.73x = 116,142.48
  5. Step 5: Solve for x
    x = 116,142.48/293.73
  6. Step 6: Final answer
    x = 395.41

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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.