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Finding the Fourth Proportional to 206.37, 282.62 and 203.67

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Solution

The fourth proportional to 206.37, 282.62 and 203.67 is: 278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 282.62 = 203.67 : x
  2. Step 2: Convert to fraction form
    206.37/282.62 = 203.67/x
  3. Step 3: Cross multiply
    206.37x = 282.62 × 203.67
  4. Step 4: Simplify right side
    206.37x = 57,561.72
  5. Step 5: Solve for x
    x = 57,561.72/206.37
  6. Step 6: Final answer
    x = 278.92

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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.