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Finding the Fourth Proportional to 126.96, 189.48 and 118.32

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Solution

The fourth proportional to 126.96, 189.48 and 118.32 is: 176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.96 : 189.48 = 118.32 : x
  2. Step 2: Convert to fraction form
    126.96/189.48 = 118.32/x
  3. Step 3: Cross multiply
    126.96x = 189.48 × 118.32
  4. Step 4: Simplify right side
    126.96x = 22,419.27
  5. Step 5: Solve for x
    x = 22,419.27/126.96
  6. Step 6: Final answer
    x = 176.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.