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Finding the Fourth Proportional to 427.20, 589.28 and 296

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Solution

The fourth proportional to 427.20, 589.28 and 296 is: 408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.20 : 589.28 = 296 : x
  2. Step 2: Convert to fraction form
    427.20/589.28 = 296/x
  3. Step 3: Cross multiply
    427.20x = 589.28 × 296
  4. Step 4: Simplify right side
    427.20x = 174,426.88
  5. Step 5: Solve for x
    x = 174,426.88/427.20
  6. Step 6: Final answer
    x = 408.30

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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.