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Finding the Fourth Proportional to 258.07, 353.39 and 247.74

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Solution

The fourth proportional to 258.07, 353.39 and 247.74 is: 339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.07 : 353.39 = 247.74 : x
  2. Step 2: Convert to fraction form
    258.07/353.39 = 247.74/x
  3. Step 3: Cross multiply
    258.07x = 353.39 × 247.74
  4. Step 4: Simplify right side
    258.07x = 87,548.84
  5. Step 5: Solve for x
    x = 87,548.84/258.07
  6. Step 6: Final answer
    x = 339.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.