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Finding the Fourth Proportional to 137.91, 190.20 and 113.29

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Solution

The fourth proportional to 137.91, 190.20 and 113.29 is: 156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.91 : 190.20 = 113.29 : x
  2. Step 2: Convert to fraction form
    137.91/190.20 = 113.29/x
  3. Step 3: Cross multiply
    137.91x = 190.20 × 113.29
  4. Step 4: Simplify right side
    137.91x = 21,547.76
  5. Step 5: Solve for x
    x = 21,547.76/137.91
  6. Step 6: Final answer
    x = 156.25

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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.