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Finding the Fourth Proportional to 447.51, 669.90 and 241.57

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Solution

The fourth proportional to 447.51, 669.90 and 241.57 is: 361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.51 : 669.90 = 241.57 : x
  2. Step 2: Convert to fraction form
    447.51/669.90 = 241.57/x
  3. Step 3: Cross multiply
    447.51x = 669.90 × 241.57
  4. Step 4: Simplify right side
    447.51x = 161,827.74
  5. Step 5: Solve for x
    x = 161,827.74/447.51
  6. Step 6: Final answer
    x = 361.62

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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.