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Finding the Fourth Proportional to 386.26, 533.04 and 231.10

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Solution

The fourth proportional to 386.26, 533.04 and 231.10 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 533.04 = 231.10 : x
  2. Step 2: Convert to fraction form
    386.26/533.04 = 231.10/x
  3. Step 3: Cross multiply
    386.26x = 533.04 × 231.10
  4. Step 4: Simplify right side
    386.26x = 123,185.54
  5. Step 5: Solve for x
    x = 123,185.54/386.26
  6. Step 6: Final answer
    x = 318.92

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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.