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Finding the Fourth Proportional to 194.16, 268.01 and 131.87

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Solution

The fourth proportional to 194.16, 268.01 and 131.87 is: 182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 268.01 = 131.87 : x
  2. Step 2: Convert to fraction form
    194.16/268.01 = 131.87/x
  3. Step 3: Cross multiply
    194.16x = 268.01 × 131.87
  4. Step 4: Simplify right side
    194.16x = 35,340.48
  5. Step 5: Solve for x
    x = 35,340.48/194.16
  6. Step 6: Final answer
    x = 182.02

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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.