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Finding the Fourth Proportional to 386.68, 533.49 and 220.84

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Solution

The fourth proportional to 386.68, 533.49 and 220.84 is: 304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 533.49 = 220.84 : x
  2. Step 2: Convert to fraction form
    386.68/533.49 = 220.84/x
  3. Step 3: Cross multiply
    386.68x = 533.49 × 220.84
  4. Step 4: Simplify right side
    386.68x = 117,815.93
  5. Step 5: Solve for x
    x = 117,815.93/386.68
  6. Step 6: Final answer
    x = 304.69

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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.