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Finding the Fourth Proportional to 251.16, 344.75 and 221.56

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Solution

The fourth proportional to 251.16, 344.75 and 221.56 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.16 : 344.75 = 221.56 : x
  2. Step 2: Convert to fraction form
    251.16/344.75 = 221.56/x
  3. Step 3: Cross multiply
    251.16x = 344.75 × 221.56
  4. Step 4: Simplify right side
    251.16x = 76,382.81
  5. Step 5: Solve for x
    x = 76,382.81/251.16
  6. Step 6: Final answer
    x = 304.12

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.