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Finding the Fourth Proportional to 137.58, 189.72 and 115.44

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Solution

The fourth proportional to 137.58, 189.72 and 115.44 is: 159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 189.72 = 115.44 : x
  2. Step 2: Convert to fraction form
    137.58/189.72 = 115.44/x
  3. Step 3: Cross multiply
    137.58x = 189.72 × 115.44
  4. Step 4: Simplify right side
    137.58x = 21,901.28
  5. Step 5: Solve for x
    x = 21,901.28/137.58
  6. Step 6: Final answer
    x = 159.19

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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.