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Finding the Fourth Proportional to 209.08, 312.86 and 186.60

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Solution

The fourth proportional to 209.08, 312.86 and 186.60 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.08 : 312.86 = 186.60 : x
  2. Step 2: Convert to fraction form
    209.08/312.86 = 186.60/x
  3. Step 3: Cross multiply
    209.08x = 312.86 × 186.60
  4. Step 4: Simplify right side
    209.08x = 58,381.32
  5. Step 5: Solve for x
    x = 58,381.32/209.08
  6. Step 6: Final answer
    x = 279.23

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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.