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Finding the Fourth Proportional to 395.72, 546.09 and 221.07

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Solution

The fourth proportional to 395.72, 546.09 and 221.07 is: 305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 546.09 = 221.07 : x
  2. Step 2: Convert to fraction form
    395.72/546.09 = 221.07/x
  3. Step 3: Cross multiply
    395.72x = 546.09 × 221.07
  4. Step 4: Simplify right side
    395.72x = 120,724.12
  5. Step 5: Solve for x
    x = 120,724.12/395.72
  6. Step 6: Final answer
    x = 305.08

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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.