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Finding the Fourth Proportional to 305.40, 420.42 and 268.44

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Solution

The fourth proportional to 305.40, 420.42 and 268.44 is: 369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 420.42 = 268.44 : x
  2. Step 2: Convert to fraction form
    305.40/420.42 = 268.44/x
  3. Step 3: Cross multiply
    305.40x = 420.42 × 268.44
  4. Step 4: Simplify right side
    305.40x = 112,857.54
  5. Step 5: Solve for x
    x = 112,857.54/305.40
  6. Step 6: Final answer
    x = 369.54

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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.