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Finding the Fourth Proportional to 427.24, 589.34 and 280

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Solution

The fourth proportional to 427.24, 589.34 and 280 is: 386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.24 : 589.34 = 280 : x
  2. Step 2: Convert to fraction form
    427.24/589.34 = 280/x
  3. Step 3: Cross multiply
    427.24x = 589.34 × 280
  4. Step 4: Simplify right side
    427.24x = 165,015.20
  5. Step 5: Solve for x
    x = 165,015.20/427.24
  6. Step 6: Final answer
    x = 386.24

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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.