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Finding the Fourth Proportional to 305.03, 420.68 and 270.09

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Solution

The fourth proportional to 305.03, 420.68 and 270.09 is: 372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.03 : 420.68 = 270.09 : x
  2. Step 2: Convert to fraction form
    305.03/420.68 = 270.09/x
  3. Step 3: Cross multiply
    305.03x = 420.68 × 270.09
  4. Step 4: Simplify right side
    305.03x = 113,620.11
  5. Step 5: Solve for x
    x = 113,620.11/305.03
  6. Step 6: Final answer
    x = 372.49

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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.