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Finding the Fourth Proportional to 322.51, 481.08 and 298.88

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Solution

The fourth proportional to 322.51, 481.08 and 298.88 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.51 : 481.08 = 298.88 : x
  2. Step 2: Convert to fraction form
    322.51/481.08 = 298.88/x
  3. Step 3: Cross multiply
    322.51x = 481.08 × 298.88
  4. Step 4: Simplify right side
    322.51x = 143,785.19
  5. Step 5: Solve for x
    x = 143,785.19/322.51
  6. Step 6: Final answer
    x = 445.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.