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Finding the Fourth Proportional to 186.14, 256.99 and 131.01

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Solution

The fourth proportional to 186.14, 256.99 and 131.01 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.14 : 256.99 = 131.01 : x
  2. Step 2: Convert to fraction form
    186.14/256.99 = 131.01/x
  3. Step 3: Cross multiply
    186.14x = 256.99 × 131.01
  4. Step 4: Simplify right side
    186.14x = 33,668.26
  5. Step 5: Solve for x
    x = 33,668.26/186.14
  6. Step 6: Final answer
    x = 180.88

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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.