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Finding the Fourth Proportional to 305.79, 422.09 and 272.98

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Solution

The fourth proportional to 305.79, 422.09 and 272.98 is: 376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.79 : 422.09 = 272.98 : x
  2. Step 2: Convert to fraction form
    305.79/422.09 = 272.98/x
  3. Step 3: Cross multiply
    305.79x = 422.09 × 272.98
  4. Step 4: Simplify right side
    305.79x = 115,222.13
  5. Step 5: Solve for x
    x = 115,222.13/305.79
  6. Step 6: Final answer
    x = 376.80

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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.