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Finding the Fourth Proportional to 293.61, 405.12 and 194.19

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Solution

The fourth proportional to 293.61, 405.12 and 194.19 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 405.12 = 194.19 : x
  2. Step 2: Convert to fraction form
    293.61/405.12 = 194.19/x
  3. Step 3: Cross multiply
    293.61x = 405.12 × 194.19
  4. Step 4: Simplify right side
    293.61x = 78,670.25
  5. Step 5: Solve for x
    x = 78,670.25/293.61
  6. Step 6: Final answer
    x = 267.94

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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.