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Finding the Fourth Proportional to 137.48, 189.80 and 109.80

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Solution

The fourth proportional to 137.48, 189.80 and 109.80 is: 151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.48 : 189.80 = 109.80 : x
  2. Step 2: Convert to fraction form
    137.48/189.80 = 109.80/x
  3. Step 3: Cross multiply
    137.48x = 189.80 × 109.80
  4. Step 4: Simplify right side
    137.48x = 20,840.04
  5. Step 5: Solve for x
    x = 20,840.04/137.48
  6. Step 6: Final answer
    x = 151.59

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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.