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Finding the Fourth Proportional to 175.33, 263.06 and 67.20

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Solution

The fourth proportional to 175.33, 263.06 and 67.20 is: 100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.33 : 263.06 = 67.20 : x
  2. Step 2: Convert to fraction form
    175.33/263.06 = 67.20/x
  3. Step 3: Cross multiply
    175.33x = 263.06 × 67.20
  4. Step 4: Simplify right side
    175.33x = 17,675.98
  5. Step 5: Solve for x
    x = 17,675.98/175.33
  6. Step 6: Final answer
    x = 100.82

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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.