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Finding the Fourth Proportional to 231.51, 346.73 and 140.05

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Solution

The fourth proportional to 231.51, 346.73 and 140.05 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.51 : 346.73 = 140.05 : x
  2. Step 2: Convert to fraction form
    231.51/346.73 = 140.05/x
  3. Step 3: Cross multiply
    231.51x = 346.73 × 140.05
  4. Step 4: Simplify right side
    231.51x = 48,558.84
  5. Step 5: Solve for x
    x = 48,558.84/231.51
  6. Step 6: Final answer
    x = 209.74

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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.