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Finding the Fourth Proportional to 465.82, 643.41 and 341.29

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Solution

The fourth proportional to 465.82, 643.41 and 341.29 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.82 : 643.41 = 341.29 : x
  2. Step 2: Convert to fraction form
    465.82/643.41 = 341.29/x
  3. Step 3: Cross multiply
    465.82x = 643.41 × 341.29
  4. Step 4: Simplify right side
    465.82x = 219,589.40
  5. Step 5: Solve for x
    x = 219,589.40/465.82
  6. Step 6: Final answer
    x = 471.40

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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.