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Finding the Fourth Proportional to 175.77, 263.12 and 111.51

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Solution

The fourth proportional to 175.77, 263.12 and 111.51 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.77 : 263.12 = 111.51 : x
  2. Step 2: Convert to fraction form
    175.77/263.12 = 111.51/x
  3. Step 3: Cross multiply
    175.77x = 263.12 × 111.51
  4. Step 4: Simplify right side
    175.77x = 29,339.95
  5. Step 5: Solve for x
    x = 29,339.95/175.77
  6. Step 6: Final answer
    x = 166.92

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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.