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Finding the Fourth Proportional to 258.60, 354.20 and 243.65

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Solution

The fourth proportional to 258.60, 354.20 and 243.65 is: 333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.60 : 354.20 = 243.65 : x
  2. Step 2: Convert to fraction form
    258.60/354.20 = 243.65/x
  3. Step 3: Cross multiply
    258.60x = 354.20 × 243.65
  4. Step 4: Simplify right side
    258.60x = 86,297.84
  5. Step 5: Solve for x
    x = 86,297.84/258.60
  6. Step 6: Final answer
    x = 333.71

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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.