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Finding the Fourth Proportional to 205.15, 282.72 and 165.73

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Solution

The fourth proportional to 205.15, 282.72 and 165.73 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.15 : 282.72 = 165.73 : x
  2. Step 2: Convert to fraction form
    205.15/282.72 = 165.73/x
  3. Step 3: Cross multiply
    205.15x = 282.72 × 165.73
  4. Step 4: Simplify right side
    205.15x = 46,855.42
  5. Step 5: Solve for x
    x = 46,855.42/205.15
  6. Step 6: Final answer
    x = 228.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.