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Finding the Fourth Proportional to 229.21, 342.49 and 173.25

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Solution

The fourth proportional to 229.21, 342.49 and 173.25 is: 258.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.21 : 342.49 = 173.25 : x
  2. Step 2: Convert to fraction form
    229.21/342.49 = 173.25/x
  3. Step 3: Cross multiply
    229.21x = 342.49 × 173.25
  4. Step 4: Simplify right side
    229.21x = 59,333.81
  5. Step 5: Solve for x
    x = 59,333.81/229.21
  6. Step 6: Final answer
    x = 258.87

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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.