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Finding the Fourth Proportional to 175.96, 262.92 and 139.51

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Solution

The fourth proportional to 175.96, 262.92 and 139.51 is: 208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 262.92 = 139.51 : x
  2. Step 2: Convert to fraction form
    175.96/262.92 = 139.51/x
  3. Step 3: Cross multiply
    175.96x = 262.92 × 139.51
  4. Step 4: Simplify right side
    175.96x = 36,679.97
  5. Step 5: Solve for x
    x = 36,679.97/175.96
  6. Step 6: Final answer
    x = 208.46

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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.