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Finding the Fourth Proportional to 446.40, 670.26 and 251.79

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Solution

The fourth proportional to 446.40, 670.26 and 251.79 is: 378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 670.26 = 251.79 : x
  2. Step 2: Convert to fraction form
    446.40/670.26 = 251.79/x
  3. Step 3: Cross multiply
    446.40x = 670.26 × 251.79
  4. Step 4: Simplify right side
    446.40x = 168,764.77
  5. Step 5: Solve for x
    x = 168,764.77/446.40
  6. Step 6: Final answer
    x = 378.06

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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.