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Finding the Fourth Proportional to 134.75, 185.78 and 103.64

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Solution

The fourth proportional to 134.75, 185.78 and 103.64 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.75 : 185.78 = 103.64 : x
  2. Step 2: Convert to fraction form
    134.75/185.78 = 103.64/x
  3. Step 3: Cross multiply
    134.75x = 185.78 × 103.64
  4. Step 4: Simplify right side
    134.75x = 19,252.79
  5. Step 5: Solve for x
    x = 19,252.79/134.75
  6. Step 6: Final answer
    x = 142.88

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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.