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Finding the Fourth Proportional to 441.70, 661.02 and 303.82

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Solution

The fourth proportional to 441.70, 661.02 and 303.82 is: 454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.70 : 661.02 = 303.82 : x
  2. Step 2: Convert to fraction form
    441.70/661.02 = 303.82/x
  3. Step 3: Cross multiply
    441.70x = 661.02 × 303.82
  4. Step 4: Simplify right side
    441.70x = 200,831.10
  5. Step 5: Solve for x
    x = 200,831.10/441.70
  6. Step 6: Final answer
    x = 454.68

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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.