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Finding the Fourth Proportional to 225.08, 310.74 and 173.14

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Solution

The fourth proportional to 225.08, 310.74 and 173.14 is: 239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.08 : 310.74 = 173.14 : x
  2. Step 2: Convert to fraction form
    225.08/310.74 = 173.14/x
  3. Step 3: Cross multiply
    225.08x = 310.74 × 173.14
  4. Step 4: Simplify right side
    225.08x = 53,800.10
  5. Step 5: Solve for x
    x = 53,800.10/225.08
  6. Step 6: Final answer
    x = 239.03

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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.