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Finding the Fourth Proportional to 175.53, 263.41 and 84.23

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Solution

The fourth proportional to 175.53, 263.41 and 84.23 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.53 : 263.41 = 84.23 : x
  2. Step 2: Convert to fraction form
    175.53/263.41 = 84.23/x
  3. Step 3: Cross multiply
    175.53x = 263.41 × 84.23
  4. Step 4: Simplify right side
    175.53x = 22,186.48
  5. Step 5: Solve for x
    x = 22,186.48/175.53
  6. Step 6: Final answer
    x = 126.39

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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.