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Finding the Fourth Proportional to 201.14, 277.05 and 157.34

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Solution

The fourth proportional to 201.14, 277.05 and 157.34 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.14 : 277.05 = 157.34 : x
  2. Step 2: Convert to fraction form
    201.14/277.05 = 157.34/x
  3. Step 3: Cross multiply
    201.14x = 277.05 × 157.34
  4. Step 4: Simplify right side
    201.14x = 43,591.05
  5. Step 5: Solve for x
    x = 43,591.05/201.14
  6. Step 6: Final answer
    x = 216.72

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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.