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Finding the Fourth Proportional to 272.55, 376.28 and 202.56

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Solution

The fourth proportional to 272.55, 376.28 and 202.56 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.55 : 376.28 = 202.56 : x
  2. Step 2: Convert to fraction form
    272.55/376.28 = 202.56/x
  3. Step 3: Cross multiply
    272.55x = 376.28 × 202.56
  4. Step 4: Simplify right side
    272.55x = 76,219.28
  5. Step 5: Solve for x
    x = 76,219.28/272.55
  6. Step 6: Final answer
    x = 279.65

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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.