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Finding the Fourth Proportional to 270, 372.72 and 201.12

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Solution

The fourth proportional to 270, 372.72 and 201.12 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 372.72 = 201.12 : x
  2. Step 2: Convert to fraction form
    270/372.72 = 201.12/x
  3. Step 3: Cross multiply
    270x = 372.72 × 201.12
  4. Step 4: Simplify right side
    270x = 74,961.45
  5. Step 5: Solve for x
    x = 74,961.45/270
  6. Step 6: Final answer
    x = 277.63

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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.