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Finding the Fourth Proportional to 272.10, 376.02 and 206.49

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Solution

The fourth proportional to 272.10, 376.02 and 206.49 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 376.02 = 206.49 : x
  2. Step 2: Convert to fraction form
    272.10/376.02 = 206.49/x
  3. Step 3: Cross multiply
    272.10x = 376.02 × 206.49
  4. Step 4: Simplify right side
    272.10x = 77,644.37
  5. Step 5: Solve for x
    x = 77,644.37/272.10
  6. Step 6: Final answer
    x = 285.35

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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.