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Finding the Fourth Proportional to 386.97, 534 and 221.19

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Solution

The fourth proportional to 386.97, 534 and 221.19 is: 305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 534 = 221.19 : x
  2. Step 2: Convert to fraction form
    386.97/534 = 221.19/x
  3. Step 3: Cross multiply
    386.97x = 534 × 221.19
  4. Step 4: Simplify right side
    386.97x = 118,115.46
  5. Step 5: Solve for x
    x = 118,115.46/386.97
  6. Step 6: Final answer
    x = 305.23

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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.