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Finding the Fourth Proportional to 320.79, 443.56 and 279.79

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Solution

The fourth proportional to 320.79, 443.56 and 279.79 is: 386.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.79 : 443.56 = 279.79 : x
  2. Step 2: Convert to fraction form
    320.79/443.56 = 279.79/x
  3. Step 3: Cross multiply
    320.79x = 443.56 × 279.79
  4. Step 4: Simplify right side
    320.79x = 124,102.37
  5. Step 5: Solve for x
    x = 124,102.37/320.79
  6. Step 6: Final answer
    x = 386.86

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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.