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Finding the Fourth Proportional to 306.12, 422.40 and 181.77

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Solution

The fourth proportional to 306.12, 422.40 and 181.77 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.12 : 422.40 = 181.77 : x
  2. Step 2: Convert to fraction form
    306.12/422.40 = 181.77/x
  3. Step 3: Cross multiply
    306.12x = 422.40 × 181.77
  4. Step 4: Simplify right side
    306.12x = 76,779.65
  5. Step 5: Solve for x
    x = 76,779.65/306.12
  6. Step 6: Final answer
    x = 250.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.