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Finding the Fourth Proportional to 305.20, 456.60 and 276.40

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Solution

The fourth proportional to 305.20, 456.60 and 276.40 is: 413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.20 : 456.60 = 276.40 : x
  2. Step 2: Convert to fraction form
    305.20/456.60 = 276.40/x
  3. Step 3: Cross multiply
    305.20x = 456.60 × 276.40
  4. Step 4: Simplify right side
    305.20x = 126,204.24
  5. Step 5: Solve for x
    x = 126,204.24/305.20
  6. Step 6: Final answer
    x = 413.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.