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Finding the Fourth Proportional to 253.60, 347.40 and 231.73

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Solution

The fourth proportional to 253.60, 347.40 and 231.73 is: 317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.60 : 347.40 = 231.73 : x
  2. Step 2: Convert to fraction form
    253.60/347.40 = 231.73/x
  3. Step 3: Cross multiply
    253.60x = 347.40 × 231.73
  4. Step 4: Simplify right side
    253.60x = 80,503.00
  5. Step 5: Solve for x
    x = 80,503.00/253.60
  6. Step 6: Final answer
    x = 317.44

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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.