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Finding the Fourth Proportional to 293.97, 405.57 and 189.05

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Solution

The fourth proportional to 293.97, 405.57 and 189.05 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 405.57 = 189.05 : x
  2. Step 2: Convert to fraction form
    293.97/405.57 = 189.05/x
  3. Step 3: Cross multiply
    293.97x = 405.57 × 189.05
  4. Step 4: Simplify right side
    293.97x = 76,670.98
  5. Step 5: Solve for x
    x = 76,670.98/293.97
  6. Step 6: Final answer
    x = 260.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.