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Finding the Fourth Proportional to 231, 346.61 and 122.79

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Solution

The fourth proportional to 231, 346.61 and 122.79 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 346.61 = 122.79 : x
  2. Step 2: Convert to fraction form
    231/346.61 = 122.79/x
  3. Step 3: Cross multiply
    231x = 346.61 × 122.79
  4. Step 4: Simplify right side
    231x = 42,560.24
  5. Step 5: Solve for x
    x = 42,560.24/231
  6. Step 6: Final answer
    x = 184.24

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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.