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Finding the Fourth Proportional to 440.65, 660.47 and 166.57

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Solution

The fourth proportional to 440.65, 660.47 and 166.57 is: 249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.65 : 660.47 = 166.57 : x
  2. Step 2: Convert to fraction form
    440.65/660.47 = 166.57/x
  3. Step 3: Cross multiply
    440.65x = 660.47 × 166.57
  4. Step 4: Simplify right side
    440.65x = 110,014.49
  5. Step 5: Solve for x
    x = 110,014.49/440.65
  6. Step 6: Final answer
    x = 249.66

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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.