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Finding the Fourth Proportional to 305.40, 421.38 and 181.06

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Solution

The fourth proportional to 305.40, 421.38 and 181.06 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 421.38 = 181.06 : x
  2. Step 2: Convert to fraction form
    305.40/421.38 = 181.06/x
  3. Step 3: Cross multiply
    305.40x = 421.38 × 181.06
  4. Step 4: Simplify right side
    305.40x = 76,295.06
  5. Step 5: Solve for x
    x = 76,295.06/305.40
  6. Step 6: Final answer
    x = 249.82

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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.