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Finding the Fourth Proportional to 205.65, 308.16 and 186.30

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Solution

The fourth proportional to 205.65, 308.16 and 186.30 is: 279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.65 : 308.16 = 186.30 : x
  2. Step 2: Convert to fraction form
    205.65/308.16 = 186.30/x
  3. Step 3: Cross multiply
    205.65x = 308.16 × 186.30
  4. Step 4: Simplify right side
    205.65x = 57,410.21
  5. Step 5: Solve for x
    x = 57,410.21/205.65
  6. Step 6: Final answer
    x = 279.16

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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.