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Finding the Fourth Proportional to 426.10, 587.85 and 251.41

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Solution

The fourth proportional to 426.10, 587.85 and 251.41 is: 346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.10 : 587.85 = 251.41 : x
  2. Step 2: Convert to fraction form
    426.10/587.85 = 251.41/x
  3. Step 3: Cross multiply
    426.10x = 587.85 × 251.41
  4. Step 4: Simplify right side
    426.10x = 147,791.37
  5. Step 5: Solve for x
    x = 147,791.37/426.10
  6. Step 6: Final answer
    x = 346.85

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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.