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Finding the Fourth Proportional to 260.30, 358.49 and 254.63

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Solution

The fourth proportional to 260.30, 358.49 and 254.63 is: 350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 358.49 = 254.63 : x
  2. Step 2: Convert to fraction form
    260.30/358.49 = 254.63/x
  3. Step 3: Cross multiply
    260.30x = 358.49 × 254.63
  4. Step 4: Simplify right side
    260.30x = 91,281.04
  5. Step 5: Solve for x
    x = 91,281.04/260.30
  6. Step 6: Final answer
    x = 350.68

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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.