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Finding the Fourth Proportional to 186.16, 257.16 and 134.68

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Solution

The fourth proportional to 186.16, 257.16 and 134.68 is: 186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.16 : 257.16 = 134.68 : x
  2. Step 2: Convert to fraction form
    186.16/257.16 = 134.68/x
  3. Step 3: Cross multiply
    186.16x = 257.16 × 134.68
  4. Step 4: Simplify right side
    186.16x = 34,634.31
  5. Step 5: Solve for x
    x = 34,634.31/186.16
  6. Step 6: Final answer
    x = 186.05

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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.