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Finding the Fourth Proportional to 186.76, 257.67 and 127.63

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Solution

The fourth proportional to 186.76, 257.67 and 127.63 is: 176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.76 : 257.67 = 127.63 : x
  2. Step 2: Convert to fraction form
    186.76/257.67 = 127.63/x
  3. Step 3: Cross multiply
    186.76x = 257.67 × 127.63
  4. Step 4: Simplify right side
    186.76x = 32,885.78
  5. Step 5: Solve for x
    x = 32,885.78/186.76
  6. Step 6: Final answer
    x = 176.09

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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.