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Finding the Fourth Proportional to 209.34, 312.18 and 186.03

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Solution

The fourth proportional to 209.34, 312.18 and 186.03 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.34 : 312.18 = 186.03 : x
  2. Step 2: Convert to fraction form
    209.34/312.18 = 186.03/x
  3. Step 3: Cross multiply
    209.34x = 312.18 × 186.03
  4. Step 4: Simplify right side
    209.34x = 58,073.28
  5. Step 5: Solve for x
    x = 58,073.28/209.34
  6. Step 6: Final answer
    x = 277.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.