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Finding the Fourth Proportional to 231.78, 347.68 and 69.47

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Solution

The fourth proportional to 231.78, 347.68 and 69.47 is: 104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 347.68 = 69.47 : x
  2. Step 2: Convert to fraction form
    231.78/347.68 = 69.47/x
  3. Step 3: Cross multiply
    231.78x = 347.68 × 69.47
  4. Step 4: Simplify right side
    231.78x = 24,152.98
  5. Step 5: Solve for x
    x = 24,152.98/231.78
  6. Step 6: Final answer
    x = 104.20

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Why These Related Problems?

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