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Finding the Fourth Proportional to 175.68, 262.14 and 156.09

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Solution

The fourth proportional to 175.68, 262.14 and 156.09 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.68 : 262.14 = 156.09 : x
  2. Step 2: Convert to fraction form
    175.68/262.14 = 156.09/x
  3. Step 3: Cross multiply
    175.68x = 262.14 × 156.09
  4. Step 4: Simplify right side
    175.68x = 40,917.43
  5. Step 5: Solve for x
    x = 40,917.43/175.68
  6. Step 6: Final answer
    x = 232.91

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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.