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Finding the Fourth Proportional to 465.39, 642.31 and 341.39

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Solution

The fourth proportional to 465.39, 642.31 and 341.39 is: 471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 642.31 = 341.39 : x
  2. Step 2: Convert to fraction form
    465.39/642.31 = 341.39/x
  3. Step 3: Cross multiply
    465.39x = 642.31 × 341.39
  4. Step 4: Simplify right side
    465.39x = 219,278.96
  5. Step 5: Solve for x
    x = 219,278.96/465.39
  6. Step 6: Final answer
    x = 471.17

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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.