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Finding the Fourth Proportional to 251, 346.41 and 140.51

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Solution

The fourth proportional to 251, 346.41 and 140.51 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    251 : 346.41 = 140.51 : x
  2. Step 2: Convert to fraction form
    251/346.41 = 140.51/x
  3. Step 3: Cross multiply
    251x = 346.41 × 140.51
  4. Step 4: Simplify right side
    251x = 48,672.34
  5. Step 5: Solve for x
    x = 48,672.34/251
  6. Step 6: Final answer
    x = 193.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.