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Finding the Fourth Proportional to 440.55, 661.10 and 166.68

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Solution

The fourth proportional to 440.55, 661.10 and 166.68 is: 250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.55 : 661.10 = 166.68 : x
  2. Step 2: Convert to fraction form
    440.55/661.10 = 166.68/x
  3. Step 3: Cross multiply
    440.55x = 661.10 × 166.68
  4. Step 4: Simplify right side
    440.55x = 110,191.31
  5. Step 5: Solve for x
    x = 110,191.31/440.55
  6. Step 6: Final answer
    x = 250.12

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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.