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Finding the Fourth Proportional to 438.82, 605.68 and 320.96

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Solution

The fourth proportional to 438.82, 605.68 and 320.96 is: 443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.82 : 605.68 = 320.96 : x
  2. Step 2: Convert to fraction form
    438.82/605.68 = 320.96/x
  3. Step 3: Cross multiply
    438.82x = 605.68 × 320.96
  4. Step 4: Simplify right side
    438.82x = 194,399.76
  5. Step 5: Solve for x
    x = 194,399.76/438.82
  6. Step 6: Final answer
    x = 443.01

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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.