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Finding the Fourth Proportional to 137.66, 189.91 and 79.41

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Solution

The fourth proportional to 137.66, 189.91 and 79.41 is: 109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.91 = 79.41 : x
  2. Step 2: Convert to fraction form
    137.66/189.91 = 79.41/x
  3. Step 3: Cross multiply
    137.66x = 189.91 × 79.41
  4. Step 4: Simplify right side
    137.66x = 15,080.75
  5. Step 5: Solve for x
    x = 15,080.75/137.66
  6. Step 6: Final answer
    x = 109.55

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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.