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Finding the Fourth Proportional to 211.01, 289.37 and 207.77

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Solution

The fourth proportional to 211.01, 289.37 and 207.77 is: 284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.01 : 289.37 = 207.77 : x
  2. Step 2: Convert to fraction form
    211.01/289.37 = 207.77/x
  3. Step 3: Cross multiply
    211.01x = 289.37 × 207.77
  4. Step 4: Simplify right side
    211.01x = 60,119.92
  5. Step 5: Solve for x
    x = 60,119.92/211.01
  6. Step 6: Final answer
    x = 284.92

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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.