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Finding the Fourth Proportional to 293.98, 405.51 and 189.21

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Solution

The fourth proportional to 293.98, 405.51 and 189.21 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 405.51 = 189.21 : x
  2. Step 2: Convert to fraction form
    293.98/405.51 = 189.21/x
  3. Step 3: Cross multiply
    293.98x = 405.51 × 189.21
  4. Step 4: Simplify right side
    293.98x = 76,725.77
  5. Step 5: Solve for x
    x = 76,725.77/293.98
  6. Step 6: Final answer
    x = 260.99

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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.