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Finding the Fourth Proportional to 201.12, 277.48 and 131.16

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Solution

The fourth proportional to 201.12, 277.48 and 131.16 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.12 : 277.48 = 131.16 : x
  2. Step 2: Convert to fraction form
    201.12/277.48 = 131.16/x
  3. Step 3: Cross multiply
    201.12x = 277.48 × 131.16
  4. Step 4: Simplify right side
    201.12x = 36,394.28
  5. Step 5: Solve for x
    x = 36,394.28/201.12
  6. Step 6: Final answer
    x = 180.96

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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.