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Finding the Fourth Proportional to 322.56, 484.37 and 298.57

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Solution

The fourth proportional to 322.56, 484.37 and 298.57 is: 448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 484.37 = 298.57 : x
  2. Step 2: Convert to fraction form
    322.56/484.37 = 298.57/x
  3. Step 3: Cross multiply
    322.56x = 484.37 × 298.57
  4. Step 4: Simplify right side
    322.56x = 144,619.30
  5. Step 5: Solve for x
    x = 144,619.30/322.56
  6. Step 6: Final answer
    x = 448.35

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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.