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Finding the Fourth Proportional to 201.28, 277.24 and 157.52

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Solution

The fourth proportional to 201.28, 277.24 and 157.52 is: 216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.28 : 277.24 = 157.52 : x
  2. Step 2: Convert to fraction form
    201.28/277.24 = 157.52/x
  3. Step 3: Cross multiply
    201.28x = 277.24 × 157.52
  4. Step 4: Simplify right side
    201.28x = 43,670.84
  5. Step 5: Solve for x
    x = 43,670.84/201.28
  6. Step 6: Final answer
    x = 216.97

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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.