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Finding the Fourth Proportional to 251.54, 376.77 and 121.35

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Solution

The fourth proportional to 251.54, 376.77 and 121.35 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.54 : 376.77 = 121.35 : x
  2. Step 2: Convert to fraction form
    251.54/376.77 = 121.35/x
  3. Step 3: Cross multiply
    251.54x = 376.77 × 121.35
  4. Step 4: Simplify right side
    251.54x = 45,721.04
  5. Step 5: Solve for x
    x = 45,721.04/251.54
  6. Step 6: Final answer
    x = 181.76

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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.