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Finding the Fourth Proportional to 305.45, 421.47 and 181.11

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Solution

The fourth proportional to 305.45, 421.47 and 181.11 is: 249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.45 : 421.47 = 181.11 : x
  2. Step 2: Convert to fraction form
    305.45/421.47 = 181.11/x
  3. Step 3: Cross multiply
    305.45x = 421.47 × 181.11
  4. Step 4: Simplify right side
    305.45x = 76,332.43
  5. Step 5: Solve for x
    x = 76,332.43/305.45
  6. Step 6: Final answer
    x = 249.91

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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.