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Finding the Fourth Proportional to 305.96, 422.09 and 212.93

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Solution

The fourth proportional to 305.96, 422.09 and 212.93 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.96 : 422.09 = 212.93 : x
  2. Step 2: Convert to fraction form
    305.96/422.09 = 212.93/x
  3. Step 3: Cross multiply
    305.96x = 422.09 × 212.93
  4. Step 4: Simplify right side
    305.96x = 89,875.62
  5. Step 5: Solve for x
    x = 89,875.62/305.96
  6. Step 6: Final answer
    x = 293.75

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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.