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Finding the Fourth Proportional to 137.51, 206.00 and 105.29

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Solution

The fourth proportional to 137.51, 206.00 and 105.29 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 206.00 = 105.29 : x
  2. Step 2: Convert to fraction form
    137.51/206.00 = 105.29/x
  3. Step 3: Cross multiply
    137.51x = 206.00 × 105.29
  4. Step 4: Simplify right side
    137.51x = 21,689.21
  5. Step 5: Solve for x
    x = 21,689.21/137.51
  6. Step 6: Final answer
    x = 157.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.