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Finding the Fourth Proportional to 165.04, 227.61 and 106.04

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Solution

The fourth proportional to 165.04, 227.61 and 106.04 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 227.61 = 106.04 : x
  2. Step 2: Convert to fraction form
    165.04/227.61 = 106.04/x
  3. Step 3: Cross multiply
    165.04x = 227.61 × 106.04
  4. Step 4: Simplify right side
    165.04x = 24,136.33
  5. Step 5: Solve for x
    x = 24,136.33/165.04
  6. Step 6: Final answer
    x = 146.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.