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Finding the Fourth Proportional to 427.89, 589.95 and 280.29

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Solution

The fourth proportional to 427.89, 589.95 and 280.29 is: 386.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.89 : 589.95 = 280.29 : x
  2. Step 2: Convert to fraction form
    427.89/589.95 = 280.29/x
  3. Step 3: Cross multiply
    427.89x = 589.95 × 280.29
  4. Step 4: Simplify right side
    427.89x = 165,357.09
  5. Step 5: Solve for x
    x = 165,357.09/427.89
  6. Step 6: Final answer
    x = 386.45

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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.