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Finding the Fourth Proportional to 205.64, 309.52 and 185.76

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Solution

The fourth proportional to 205.64, 309.52 and 185.76 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.64 : 309.52 = 185.76 : x
  2. Step 2: Convert to fraction form
    205.64/309.52 = 185.76/x
  3. Step 3: Cross multiply
    205.64x = 309.52 × 185.76
  4. Step 4: Simplify right side
    205.64x = 57,496.44
  5. Step 5: Solve for x
    x = 57,496.44/205.64
  6. Step 6: Final answer
    x = 279.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.