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Finding the Fourth Proportional to 225.26, 310.70 and 172.81

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Solution

The fourth proportional to 225.26, 310.70 and 172.81 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.26 : 310.70 = 172.81 : x
  2. Step 2: Convert to fraction form
    225.26/310.70 = 172.81/x
  3. Step 3: Cross multiply
    225.26x = 310.70 × 172.81
  4. Step 4: Simplify right side
    225.26x = 53,691.72
  5. Step 5: Solve for x
    x = 53,691.72/225.26
  6. Step 6: Final answer
    x = 238.36

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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.