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Finding the Fourth Proportional to 205.18, 307.93 and 165.09

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Solution

The fourth proportional to 205.18, 307.93 and 165.09 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.18 : 307.93 = 165.09 : x
  2. Step 2: Convert to fraction form
    205.18/307.93 = 165.09/x
  3. Step 3: Cross multiply
    205.18x = 307.93 × 165.09
  4. Step 4: Simplify right side
    205.18x = 50,835.02
  5. Step 5: Solve for x
    x = 50,835.02/205.18
  6. Step 6: Final answer
    x = 247.75

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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.