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Finding the Fourth Proportional to 427.80, 589.92 and 278.19

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Solution

The fourth proportional to 427.80, 589.92 and 278.19 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.80 : 589.92 = 278.19 : x
  2. Step 2: Convert to fraction form
    427.80/589.92 = 278.19/x
  3. Step 3: Cross multiply
    427.80x = 589.92 × 278.19
  4. Step 4: Simplify right side
    427.80x = 164,109.84
  5. Step 5: Solve for x
    x = 164,109.84/427.80
  6. Step 6: Final answer
    x = 383.61

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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.