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Finding the Fourth Proportional to 211.88, 289.80 and 208.52

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Solution

The fourth proportional to 211.88, 289.80 and 208.52 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 289.80 = 208.52 : x
  2. Step 2: Convert to fraction form
    211.88/289.80 = 208.52/x
  3. Step 3: Cross multiply
    211.88x = 289.80 × 208.52
  4. Step 4: Simplify right side
    211.88x = 60,429.10
  5. Step 5: Solve for x
    x = 60,429.10/211.88
  6. Step 6: Final answer
    x = 285.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.