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Finding the Fourth Proportional to 251.90, 377.46 and 174.59

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Solution

The fourth proportional to 251.90, 377.46 and 174.59 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.90 : 377.46 = 174.59 : x
  2. Step 2: Convert to fraction form
    251.90/377.46 = 174.59/x
  3. Step 3: Cross multiply
    251.90x = 377.46 × 174.59
  4. Step 4: Simplify right side
    251.90x = 65,900.74
  5. Step 5: Solve for x
    x = 65,900.74/251.90
  6. Step 6: Final answer
    x = 261.61

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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.