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Finding the Fourth Proportional to 386.94, 533.84 and 235.47

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Solution

The fourth proportional to 386.94, 533.84 and 235.47 is: 324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.94 : 533.84 = 235.47 : x
  2. Step 2: Convert to fraction form
    386.94/533.84 = 235.47/x
  3. Step 3: Cross multiply
    386.94x = 533.84 × 235.47
  4. Step 4: Simplify right side
    386.94x = 125,702.13
  5. Step 5: Solve for x
    x = 125,702.13/386.94
  6. Step 6: Final answer
    x = 324.86

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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.