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Finding the Fourth Proportional to 441.47, 661.95 and 133.23

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Solution

The fourth proportional to 441.47, 661.95 and 133.23 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.47 : 661.95 = 133.23 : x
  2. Step 2: Convert to fraction form
    441.47/661.95 = 133.23/x
  3. Step 3: Cross multiply
    441.47x = 661.95 × 133.23
  4. Step 4: Simplify right side
    441.47x = 88,191.27
  5. Step 5: Solve for x
    x = 88,191.27/441.47
  6. Step 6: Final answer
    x = 199.77

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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.