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Finding the Fourth Proportional to 490.74, 735.78 and 166.02

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Solution

The fourth proportional to 490.74, 735.78 and 166.02 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.74 : 735.78 = 166.02 : x
  2. Step 2: Convert to fraction form
    490.74/735.78 = 166.02/x
  3. Step 3: Cross multiply
    490.74x = 735.78 × 166.02
  4. Step 4: Simplify right side
    490.74x = 122,154.20
  5. Step 5: Solve for x
    x = 122,154.20/490.74
  6. Step 6: Final answer
    x = 248.92

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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.