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Finding the Fourth Proportional to 164, 245.82 and 67.74

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Solution

The fourth proportional to 164, 245.82 and 67.74 is: 101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 245.82 = 67.74 : x
  2. Step 2: Convert to fraction form
    164/245.82 = 67.74/x
  3. Step 3: Cross multiply
    164x = 245.82 × 67.74
  4. Step 4: Simplify right side
    164x = 16,651.85
  5. Step 5: Solve for x
    x = 16,651.85/164
  6. Step 6: Final answer
    x = 101.54

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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.