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Finding the Fourth Proportional to 305.53, 421.64 and 181.33

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Solution

The fourth proportional to 305.53, 421.64 and 181.33 is: 250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.53 : 421.64 = 181.33 : x
  2. Step 2: Convert to fraction form
    305.53/421.64 = 181.33/x
  3. Step 3: Cross multiply
    305.53x = 421.64 × 181.33
  4. Step 4: Simplify right side
    305.53x = 76,455.98
  5. Step 5: Solve for x
    x = 76,455.98/305.53
  6. Step 6: Final answer
    x = 250.24

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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.