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Finding the Fourth Proportional to 427.11, 589.46 and 279.83

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Solution

The fourth proportional to 427.11, 589.46 and 279.83 is: 386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.11 : 589.46 = 279.83 : x
  2. Step 2: Convert to fraction form
    427.11/589.46 = 279.83/x
  3. Step 3: Cross multiply
    427.11x = 589.46 × 279.83
  4. Step 4: Simplify right side
    427.11x = 164,944.25
  5. Step 5: Solve for x
    x = 164,944.25/427.11
  6. Step 6: Final answer
    x = 386.19

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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.