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Finding the Fourth Proportional to 231.40, 346.90 and 123.09

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Solution

The fourth proportional to 231.40, 346.90 and 123.09 is: 184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.40 : 346.90 = 123.09 : x
  2. Step 2: Convert to fraction form
    231.40/346.90 = 123.09/x
  3. Step 3: Cross multiply
    231.40x = 346.90 × 123.09
  4. Step 4: Simplify right side
    231.40x = 42,699.92
  5. Step 5: Solve for x
    x = 42,699.92/231.40
  6. Step 6: Final answer
    x = 184.53

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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.