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Finding the Fourth Proportional to 427.96, 642.20 and 154.29

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Solution

The fourth proportional to 427.96, 642.20 and 154.29 is: 231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.96 : 642.20 = 154.29 : x
  2. Step 2: Convert to fraction form
    427.96/642.20 = 154.29/x
  3. Step 3: Cross multiply
    427.96x = 642.20 × 154.29
  4. Step 4: Simplify right side
    427.96x = 99,085.04
  5. Step 5: Solve for x
    x = 99,085.04/427.96
  6. Step 6: Final answer
    x = 231.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.