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Finding the Fourth Proportional to 224.56, 309.80 and 172.88

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Solution

The fourth proportional to 224.56, 309.80 and 172.88 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.56 : 309.80 = 172.88 : x
  2. Step 2: Convert to fraction form
    224.56/309.80 = 172.88/x
  3. Step 3: Cross multiply
    224.56x = 309.80 × 172.88
  4. Step 4: Simplify right side
    224.56x = 53,558.22
  5. Step 5: Solve for x
    x = 53,558.22/224.56
  6. Step 6: Final answer
    x = 238.50

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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.