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Finding the Fourth Proportional to 258.58, 358.39 and 254.74

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Solution

The fourth proportional to 258.58, 358.39 and 254.74 is: 353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.58 : 358.39 = 254.74 : x
  2. Step 2: Convert to fraction form
    258.58/358.39 = 254.74/x
  3. Step 3: Cross multiply
    258.58x = 358.39 × 254.74
  4. Step 4: Simplify right side
    258.58x = 91,296.27
  5. Step 5: Solve for x
    x = 91,296.27/258.58
  6. Step 6: Final answer
    x = 353.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.