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Finding the Fourth Proportional to 215.57, 321.14 and 205.25

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Solution

The fourth proportional to 215.57, 321.14 and 205.25 is: 305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.57 : 321.14 = 205.25 : x
  2. Step 2: Convert to fraction form
    215.57/321.14 = 205.25/x
  3. Step 3: Cross multiply
    215.57x = 321.14 × 205.25
  4. Step 4: Simplify right side
    215.57x = 65,913.99
  5. Step 5: Solve for x
    x = 65,913.99/215.57
  6. Step 6: Final answer
    x = 305.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.