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Finding the Fourth Proportional to 231.64, 346.90 and 140.13

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Solution

The fourth proportional to 231.64, 346.90 and 140.13 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 346.90 = 140.13 : x
  2. Step 2: Convert to fraction form
    231.64/346.90 = 140.13/x
  3. Step 3: Cross multiply
    231.64x = 346.90 × 140.13
  4. Step 4: Simplify right side
    231.64x = 48,611.10
  5. Step 5: Solve for x
    x = 48,611.10/231.64
  6. Step 6: Final answer
    x = 209.86

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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.