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Finding the Fourth Proportional to 258.31, 386.79 and 243.33

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Solution

The fourth proportional to 258.31, 386.79 and 243.33 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 386.79 = 243.33 : x
  2. Step 2: Convert to fraction form
    258.31/386.79 = 243.33/x
  3. Step 3: Cross multiply
    258.31x = 386.79 × 243.33
  4. Step 4: Simplify right side
    258.31x = 94,117.61
  5. Step 5: Solve for x
    x = 94,117.61/258.31
  6. Step 6: Final answer
    x = 364.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.