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Finding the Fourth Proportional to 209, 288.40 and 126.08

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Solution

The fourth proportional to 209, 288.40 and 126.08 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 288.40 = 126.08 : x
  2. Step 2: Convert to fraction form
    209/288.40 = 126.08/x
  3. Step 3: Cross multiply
    209x = 288.40 × 126.08
  4. Step 4: Simplify right side
    209x = 36,361.47
  5. Step 5: Solve for x
    x = 36,361.47/209
  6. Step 6: Final answer
    x = 173.98

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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.