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Finding the Fourth Proportional to 293.30, 406.60 and 277.69

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Solution

The fourth proportional to 293.30, 406.60 and 277.69 is: 384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 406.60 = 277.69 : x
  2. Step 2: Convert to fraction form
    293.30/406.60 = 277.69/x
  3. Step 3: Cross multiply
    293.30x = 406.60 × 277.69
  4. Step 4: Simplify right side
    293.30x = 112,910.80
  5. Step 5: Solve for x
    x = 112,910.80/293.30
  6. Step 6: Final answer
    x = 384.97

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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.