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Finding the Fourth Proportional to 137.96, 190.58 and 117.46

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Solution

The fourth proportional to 137.96, 190.58 and 117.46 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.96 : 190.58 = 117.46 : x
  2. Step 2: Convert to fraction form
    137.96/190.58 = 117.46/x
  3. Step 3: Cross multiply
    137.96x = 190.58 × 117.46
  4. Step 4: Simplify right side
    137.96x = 22,384.46
  5. Step 5: Solve for x
    x = 22,384.46/137.96
  6. Step 6: Final answer
    x = 162.26

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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.