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Finding the Fourth Proportional to 386.96, 533.97 and 221.13

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Solution

The fourth proportional to 386.96, 533.97 and 221.13 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 533.97 = 221.13 : x
  2. Step 2: Convert to fraction form
    386.96/533.97 = 221.13/x
  3. Step 3: Cross multiply
    386.96x = 533.97 × 221.13
  4. Step 4: Simplify right side
    386.96x = 118,076.79
  5. Step 5: Solve for x
    x = 118,076.79/386.96
  6. Step 6: Final answer
    x = 305.14

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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.