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Finding the Fourth Proportional to 446.48, 666.02 and 378.44

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Solution

The fourth proportional to 446.48, 666.02 and 378.44 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.48 : 666.02 = 378.44 : x
  2. Step 2: Convert to fraction form
    446.48/666.02 = 378.44/x
  3. Step 3: Cross multiply
    446.48x = 666.02 × 378.44
  4. Step 4: Simplify right side
    446.48x = 252,048.61
  5. Step 5: Solve for x
    x = 252,048.61/446.48
  6. Step 6: Final answer
    x = 564.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.