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Finding the Fourth Proportional to 211.74, 288.42 and 207.72

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Solution

The fourth proportional to 211.74, 288.42 and 207.72 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 288.42 = 207.72 : x
  2. Step 2: Convert to fraction form
    211.74/288.42 = 207.72/x
  3. Step 3: Cross multiply
    211.74x = 288.42 × 207.72
  4. Step 4: Simplify right side
    211.74x = 59,910.60
  5. Step 5: Solve for x
    x = 59,910.60/211.74
  6. Step 6: Final answer
    x = 282.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.