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Finding the Fourth Proportional to 427.34, 589.82 and 279.92

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Solution

The fourth proportional to 427.34, 589.82 and 279.92 is: 386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.34 : 589.82 = 279.92 : x
  2. Step 2: Convert to fraction form
    427.34/589.82 = 279.92/x
  3. Step 3: Cross multiply
    427.34x = 589.82 × 279.92
  4. Step 4: Simplify right side
    427.34x = 165,101.01
  5. Step 5: Solve for x
    x = 165,101.01/427.34
  6. Step 6: Final answer
    x = 386.35

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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.