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Finding the Fourth Proportional to 446.28, 669.66 and 240.84

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Solution

The fourth proportional to 446.28, 669.66 and 240.84 is: 361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 669.66 = 240.84 : x
  2. Step 2: Convert to fraction form
    446.28/669.66 = 240.84/x
  3. Step 3: Cross multiply
    446.28x = 669.66 × 240.84
  4. Step 4: Simplify right side
    446.28x = 161,280.91
  5. Step 5: Solve for x
    x = 161,280.91/446.28
  6. Step 6: Final answer
    x = 361.39

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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.