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Finding the Fourth Proportional to 211.13, 289.60 and 207.69

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Solution

The fourth proportional to 211.13, 289.60 and 207.69 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.13 : 289.60 = 207.69 : x
  2. Step 2: Convert to fraction form
    211.13/289.60 = 207.69/x
  3. Step 3: Cross multiply
    211.13x = 289.60 × 207.69
  4. Step 4: Simplify right side
    211.13x = 60,147.02
  5. Step 5: Solve for x
    x = 60,147.02/211.13
  6. Step 6: Final answer
    x = 284.88

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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.