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Finding the Fourth Proportional to 220.64, 305.94 and 213.32

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Solution

The fourth proportional to 220.64, 305.94 and 213.32 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.64 : 305.94 = 213.32 : x
  2. Step 2: Convert to fraction form
    220.64/305.94 = 213.32/x
  3. Step 3: Cross multiply
    220.64x = 305.94 × 213.32
  4. Step 4: Simplify right side
    220.64x = 65,264.22
  5. Step 5: Solve for x
    x = 65,264.22/220.64
  6. Step 6: Final answer
    x = 295.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.