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Finding the Fourth Proportional to 293.88, 405.78 and 189.12

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Solution

The fourth proportional to 293.88, 405.78 and 189.12 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.88 : 405.78 = 189.12 : x
  2. Step 2: Convert to fraction form
    293.88/405.78 = 189.12/x
  3. Step 3: Cross multiply
    293.88x = 405.78 × 189.12
  4. Step 4: Simplify right side
    293.88x = 76,741.11
  5. Step 5: Solve for x
    x = 76,741.11/293.88
  6. Step 6: Final answer
    x = 261.13

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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.