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Finding the Fourth Proportional to 309.46, 427.20 and 220.96

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Solution

The fourth proportional to 309.46, 427.20 and 220.96 is: 305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 427.20 = 220.96 : x
  2. Step 2: Convert to fraction form
    309.46/427.20 = 220.96/x
  3. Step 3: Cross multiply
    309.46x = 427.20 × 220.96
  4. Step 4: Simplify right side
    309.46x = 94,394.11
  5. Step 5: Solve for x
    x = 94,394.11/309.46
  6. Step 6: Final answer
    x = 305.03

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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.