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Finding the Fourth Proportional to 186.74, 257.85 and 127.82

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Solution

The fourth proportional to 186.74, 257.85 and 127.82 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 257.85 = 127.82 : x
  2. Step 2: Convert to fraction form
    186.74/257.85 = 127.82/x
  3. Step 3: Cross multiply
    186.74x = 257.85 × 127.82
  4. Step 4: Simplify right side
    186.74x = 32,958.39
  5. Step 5: Solve for x
    x = 32,958.39/186.74
  6. Step 6: Final answer
    x = 176.49

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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.