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Finding the Fourth Proportional to 341.82, 513.19 and 290.79

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Solution

The fourth proportional to 341.82, 513.19 and 290.79 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 513.19 = 290.79 : x
  2. Step 2: Convert to fraction form
    341.82/513.19 = 290.79/x
  3. Step 3: Cross multiply
    341.82x = 513.19 × 290.79
  4. Step 4: Simplify right side
    341.82x = 149,229.25
  5. Step 5: Solve for x
    x = 149,229.25/341.82
  6. Step 6: Final answer
    x = 436.57

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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.