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Finding the Fourth Proportional to 231.80, 342.74 and 231.80

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Solution

The fourth proportional to 231.80, 342.74 and 231.80 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.80 : 342.74 = 231.80 : x
  2. Step 2: Convert to fraction form
    231.80/342.74 = 231.80/x
  3. Step 3: Cross multiply
    231.80x = 342.74 × 231.80
  4. Step 4: Simplify right side
    231.80x = 79,447.13
  5. Step 5: Solve for x
    x = 79,447.13/231.80
  6. Step 6: Final answer
    x = 342.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.