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Finding the Fourth Proportional to 427.78, 589.77 and 280.16

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Solution

The fourth proportional to 427.78, 589.77 and 280.16 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.78 : 589.77 = 280.16 : x
  2. Step 2: Convert to fraction form
    427.78/589.77 = 280.16/x
  3. Step 3: Cross multiply
    427.78x = 589.77 × 280.16
  4. Step 4: Simplify right side
    427.78x = 165,229.96
  5. Step 5: Solve for x
    x = 165,229.96/427.78
  6. Step 6: Final answer
    x = 386.25

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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.