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Finding the Fourth Proportional to 173.28, 258.41 and 151.71

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Solution

The fourth proportional to 173.28, 258.41 and 151.71 is: 226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 258.41 = 151.71 : x
  2. Step 2: Convert to fraction form
    173.28/258.41 = 151.71/x
  3. Step 3: Cross multiply
    173.28x = 258.41 × 151.71
  4. Step 4: Simplify right side
    173.28x = 39,202.62
  5. Step 5: Solve for x
    x = 39,202.62/173.28
  6. Step 6: Final answer
    x = 226.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.