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Finding the Fourth Proportional to 251.35, 346.81 and 140.80

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Solution

The fourth proportional to 251.35, 346.81 and 140.80 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.35 : 346.81 = 140.80 : x
  2. Step 2: Convert to fraction form
    251.35/346.81 = 140.80/x
  3. Step 3: Cross multiply
    251.35x = 346.81 × 140.80
  4. Step 4: Simplify right side
    251.35x = 48,831.46
  5. Step 5: Solve for x
    x = 48,831.46/251.35
  6. Step 6: Final answer
    x = 194.28

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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.