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Finding the Fourth Proportional to 345.26, 518.00 and 209.18

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Solution

The fourth proportional to 345.26, 518.00 and 209.18 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.26 : 518.00 = 209.18 : x
  2. Step 2: Convert to fraction form
    345.26/518.00 = 209.18/x
  3. Step 3: Cross multiply
    345.26x = 518.00 × 209.18
  4. Step 4: Simplify right side
    345.26x = 108,355.49
  5. Step 5: Solve for x
    x = 108,355.49/345.26
  6. Step 6: Final answer
    x = 313.84

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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.