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Finding the Fourth Proportional to 272.37, 376.08 and 202.51

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Solution

The fourth proportional to 272.37, 376.08 and 202.51 is: 279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.37 : 376.08 = 202.51 : x
  2. Step 2: Convert to fraction form
    272.37/376.08 = 202.51/x
  3. Step 3: Cross multiply
    272.37x = 376.08 × 202.51
  4. Step 4: Simplify right side
    272.37x = 76,159.96
  5. Step 5: Solve for x
    x = 76,159.96/272.37
  6. Step 6: Final answer
    x = 279.62

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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.