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Finding the Fourth Proportional to 427.82, 642.06 and 318.38

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Solution

The fourth proportional to 427.82, 642.06 and 318.38 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.82 : 642.06 = 318.38 : x
  2. Step 2: Convert to fraction form
    427.82/642.06 = 318.38/x
  3. Step 3: Cross multiply
    427.82x = 642.06 × 318.38
  4. Step 4: Simplify right side
    427.82x = 204,419.06
  5. Step 5: Solve for x
    x = 204,419.06/427.82
  6. Step 6: Final answer
    x = 477.82

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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.