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Finding the Fourth Proportional to 441.92, 661.97 and 388.16

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Solution

The fourth proportional to 441.92, 661.97 and 388.16 is: 581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.92 : 661.97 = 388.16 : x
  2. Step 2: Convert to fraction form
    441.92/661.97 = 388.16/x
  3. Step 3: Cross multiply
    441.92x = 661.97 × 388.16
  4. Step 4: Simplify right side
    441.92x = 256,950.42
  5. Step 5: Solve for x
    x = 256,950.42/441.92
  6. Step 6: Final answer
    x = 581.44

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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.