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Finding the Fourth Proportional to 465.82, 642.43 and 396.10

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Solution

The fourth proportional to 465.82, 642.43 and 396.10 is: 546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 642.43 = 396.10 : x
  2. Step 2: Convert to fraction form
    465.82/642.43 = 396.10/x
  3. Step 3: Cross multiply
    465.82x = 642.43 × 396.10
  4. Step 4: Simplify right side
    465.82x = 254,467.82
  5. Step 5: Solve for x
    x = 254,467.82/465.82
  6. Step 6: Final answer
    x = 546.28

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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.