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Finding the Fourth Proportional to 386.23, 532.97 and 220.42

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Solution

The fourth proportional to 386.23, 532.97 and 220.42 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 532.97 = 220.42 : x
  2. Step 2: Convert to fraction form
    386.23/532.97 = 220.42/x
  3. Step 3: Cross multiply
    386.23x = 532.97 × 220.42
  4. Step 4: Simplify right side
    386.23x = 117,474.58
  5. Step 5: Solve for x
    x = 117,474.58/386.23
  6. Step 6: Final answer
    x = 304.16

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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.