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Finding the Fourth Proportional to 386.36, 533.12 and 220.55

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Solution

The fourth proportional to 386.36, 533.12 and 220.55 is: 304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.36 : 533.12 = 220.55 : x
  2. Step 2: Convert to fraction form
    386.36/533.12 = 220.55/x
  3. Step 3: Cross multiply
    386.36x = 533.12 × 220.55
  4. Step 4: Simplify right side
    386.36x = 117,575.85
  5. Step 5: Solve for x
    x = 117,575.85/386.36
  6. Step 6: Final answer
    x = 304.32

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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.