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Finding the Fourth Proportional to 186.90, 257.61 and 127.84

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Solution

The fourth proportional to 186.90, 257.61 and 127.84 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 257.61 = 127.84 : x
  2. Step 2: Convert to fraction form
    186.90/257.61 = 127.84/x
  3. Step 3: Cross multiply
    186.90x = 257.61 × 127.84
  4. Step 4: Simplify right side
    186.90x = 32,932.86
  5. Step 5: Solve for x
    x = 32,932.86/186.90
  6. Step 6: Final answer
    x = 176.21

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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.