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Finding the Fourth Proportional to 231.55, 346.90 and 109.55

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Solution

The fourth proportional to 231.55, 346.90 and 109.55 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.55 : 346.90 = 109.55 : x
  2. Step 2: Convert to fraction form
    231.55/346.90 = 109.55/x
  3. Step 3: Cross multiply
    231.55x = 346.90 × 109.55
  4. Step 4: Simplify right side
    231.55x = 38,002.90
  5. Step 5: Solve for x
    x = 38,002.90/231.55
  6. Step 6: Final answer
    x = 164.12

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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.