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Finding the Fourth Proportional to 186.42, 257.22 and 127.45

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Solution

The fourth proportional to 186.42, 257.22 and 127.45 is: 175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 257.22 = 127.45 : x
  2. Step 2: Convert to fraction form
    186.42/257.22 = 127.45/x
  3. Step 3: Cross multiply
    186.42x = 257.22 × 127.45
  4. Step 4: Simplify right side
    186.42x = 32,782.69
  5. Step 5: Solve for x
    x = 32,782.69/186.42
  6. Step 6: Final answer
    x = 175.85

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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.