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Finding the Fourth Proportional to 321.56, 484.06 and 276.91

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Solution

The fourth proportional to 321.56, 484.06 and 276.91 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 484.06 = 276.91 : x
  2. Step 2: Convert to fraction form
    321.56/484.06 = 276.91/x
  3. Step 3: Cross multiply
    321.56x = 484.06 × 276.91
  4. Step 4: Simplify right side
    321.56x = 134,041.05
  5. Step 5: Solve for x
    x = 134,041.05/321.56
  6. Step 6: Final answer
    x = 416.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.