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Finding the Fourth Proportional to 231.67, 347.55 and 122.05

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Solution

The fourth proportional to 231.67, 347.55 and 122.05 is: 183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.67 : 347.55 = 122.05 : x
  2. Step 2: Convert to fraction form
    231.67/347.55 = 122.05/x
  3. Step 3: Cross multiply
    231.67x = 347.55 × 122.05
  4. Step 4: Simplify right side
    231.67x = 42,418.48
  5. Step 5: Solve for x
    x = 42,418.48/231.67
  6. Step 6: Final answer
    x = 183.10

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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.