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Finding the Fourth Proportional to 231.19, 346.72 and 77.09

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Solution

The fourth proportional to 231.19, 346.72 and 77.09 is: 115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.19 : 346.72 = 77.09 : x
  2. Step 2: Convert to fraction form
    231.19/346.72 = 77.09/x
  3. Step 3: Cross multiply
    231.19x = 346.72 × 77.09
  4. Step 4: Simplify right side
    231.19x = 26,728.64
  5. Step 5: Solve for x
    x = 26,728.64/231.19
  6. Step 6: Final answer
    x = 115.61

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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.