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Finding the Fourth Proportional to 174.81, 241.28 and 109.30

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Solution

The fourth proportional to 174.81, 241.28 and 109.30 is: 150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.81 : 241.28 = 109.30 : x
  2. Step 2: Convert to fraction form
    174.81/241.28 = 109.30/x
  3. Step 3: Cross multiply
    174.81x = 241.28 × 109.30
  4. Step 4: Simplify right side
    174.81x = 26,371.62
  5. Step 5: Solve for x
    x = 26,371.62/174.81
  6. Step 6: Final answer
    x = 150.86

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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.