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Finding the Fourth Proportional to 272.38, 376.03 and 206.77

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Solution

The fourth proportional to 272.38, 376.03 and 206.77 is: 285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.38 : 376.03 = 206.77 : x
  2. Step 2: Convert to fraction form
    272.38/376.03 = 206.77/x
  3. Step 3: Cross multiply
    272.38x = 376.03 × 206.77
  4. Step 4: Simplify right side
    272.38x = 77,751.72
  5. Step 5: Solve for x
    x = 77,751.72/272.38
  6. Step 6: Final answer
    x = 285.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.