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Finding the Fourth Proportional to 440.97, 661.18 and 166.98

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Solution

The fourth proportional to 440.97, 661.18 and 166.98 is: 250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.97 : 661.18 = 166.98 : x
  2. Step 2: Convert to fraction form
    440.97/661.18 = 166.98/x
  3. Step 3: Cross multiply
    440.97x = 661.18 × 166.98
  4. Step 4: Simplify right side
    440.97x = 110,403.84
  5. Step 5: Solve for x
    x = 110,403.84/440.97
  6. Step 6: Final answer
    x = 250.37

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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.