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Finding the Fourth Proportional to 248.27, 340.61 and 235.71

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Solution

The fourth proportional to 248.27, 340.61 and 235.71 is: 323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.27 : 340.61 = 235.71 : x
  2. Step 2: Convert to fraction form
    248.27/340.61 = 235.71/x
  3. Step 3: Cross multiply
    248.27x = 340.61 × 235.71
  4. Step 4: Simplify right side
    248.27x = 80,284.00
  5. Step 5: Solve for x
    x = 80,284.00/248.27
  6. Step 6: Final answer
    x = 323.38

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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.