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Finding the Fourth Proportional to 345.97, 518.68 and 181.36

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Solution

The fourth proportional to 345.97, 518.68 and 181.36 is: 271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.97 : 518.68 = 181.36 : x
  2. Step 2: Convert to fraction form
    345.97/518.68 = 181.36/x
  3. Step 3: Cross multiply
    345.97x = 518.68 × 181.36
  4. Step 4: Simplify right side
    345.97x = 94,067.80
  5. Step 5: Solve for x
    x = 94,067.80/345.97
  6. Step 6: Final answer
    x = 271.90

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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.