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Finding the Fourth Proportional to 231.46, 346.71 and 103.30

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Solution

The fourth proportional to 231.46, 346.71 and 103.30 is: 154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 346.71 = 103.30 : x
  2. Step 2: Convert to fraction form
    231.46/346.71 = 103.30/x
  3. Step 3: Cross multiply
    231.46x = 346.71 × 103.30
  4. Step 4: Simplify right side
    231.46x = 35,815.14
  5. Step 5: Solve for x
    x = 35,815.14/231.46
  6. Step 6: Final answer
    x = 154.74

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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.