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Finding the Fourth Proportional to 213.94, 318.83 and 204.76

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Solution

The fourth proportional to 213.94, 318.83 and 204.76 is: 305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 318.83 = 204.76 : x
  2. Step 2: Convert to fraction form
    213.94/318.83 = 204.76/x
  3. Step 3: Cross multiply
    213.94x = 318.83 × 204.76
  4. Step 4: Simplify right side
    213.94x = 65,283.63
  5. Step 5: Solve for x
    x = 65,283.63/213.94
  6. Step 6: Final answer
    x = 305.15

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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.