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Finding the Fourth Proportional to 251.18, 346.62 and 140.65

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Solution

The fourth proportional to 251.18, 346.62 and 140.65 is: 194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.18 : 346.62 = 140.65 : x
  2. Step 2: Convert to fraction form
    251.18/346.62 = 140.65/x
  3. Step 3: Cross multiply
    251.18x = 346.62 × 140.65
  4. Step 4: Simplify right side
    251.18x = 48,752.10
  5. Step 5: Solve for x
    x = 48,752.10/251.18
  6. Step 6: Final answer
    x = 194.09

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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.