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Finding the Fourth Proportional to 211.30, 318.27 and 205.83

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Solution

The fourth proportional to 211.30, 318.27 and 205.83 is: 310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.30 : 318.27 = 205.83 : x
  2. Step 2: Convert to fraction form
    211.30/318.27 = 205.83/x
  3. Step 3: Cross multiply
    211.30x = 318.27 × 205.83
  4. Step 4: Simplify right side
    211.30x = 65,509.51
  5. Step 5: Solve for x
    x = 65,509.51/211.30
  6. Step 6: Final answer
    x = 310.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.