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Finding the Fourth Proportional to 231.60, 347.44 and 69.28

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Solution

The fourth proportional to 231.60, 347.44 and 69.28 is: 103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 347.44 = 69.28 : x
  2. Step 2: Convert to fraction form
    231.60/347.44 = 69.28/x
  3. Step 3: Cross multiply
    231.60x = 347.44 × 69.28
  4. Step 4: Simplify right side
    231.60x = 24,070.64
  5. Step 5: Solve for x
    x = 24,070.64/231.60
  6. Step 6: Final answer
    x = 103.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.