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Finding the Fourth Proportional to 386.17, 533.02 and 220.47

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Solution

The fourth proportional to 386.17, 533.02 and 220.47 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.17 : 533.02 = 220.47 : x
  2. Step 2: Convert to fraction form
    386.17/533.02 = 220.47/x
  3. Step 3: Cross multiply
    386.17x = 533.02 × 220.47
  4. Step 4: Simplify right side
    386.17x = 117,514.92
  5. Step 5: Solve for x
    x = 117,514.92/386.17
  6. Step 6: Final answer
    x = 304.31

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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.