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Finding the Fourth Proportional to 427.04, 589.46 and 296.22

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Solution

The fourth proportional to 427.04, 589.46 and 296.22 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.04 : 589.46 = 296.22 : x
  2. Step 2: Convert to fraction form
    427.04/589.46 = 296.22/x
  3. Step 3: Cross multiply
    427.04x = 589.46 × 296.22
  4. Step 4: Simplify right side
    427.04x = 174,609.84
  5. Step 5: Solve for x
    x = 174,609.84/427.04
  6. Step 6: Final answer
    x = 408.88

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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.