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Finding the Fourth Proportional to 209, 312.94 and 140.36

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Solution

The fourth proportional to 209, 312.94 and 140.36 is: 210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209 : 312.94 = 140.36 : x
  2. Step 2: Convert to fraction form
    209/312.94 = 140.36/x
  3. Step 3: Cross multiply
    209x = 312.94 × 140.36
  4. Step 4: Simplify right side
    209x = 43,924.26
  5. Step 5: Solve for x
    x = 43,924.26/209
  6. Step 6: Final answer
    x = 210.16

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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.