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Finding the Fourth Proportional to 215.64, 321.75 and 204.84

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Solution

The fourth proportional to 215.64, 321.75 and 204.84 is: 305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 321.75 = 204.84 : x
  2. Step 2: Convert to fraction form
    215.64/321.75 = 204.84/x
  3. Step 3: Cross multiply
    215.64x = 321.75 × 204.84
  4. Step 4: Simplify right side
    215.64x = 65,907.27
  5. Step 5: Solve for x
    x = 65,907.27/215.64
  6. Step 6: Final answer
    x = 305.64

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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.