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Finding the Fourth Proportional to 310.23, 464.54 and 172.73

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Solution

The fourth proportional to 310.23, 464.54 and 172.73 is: 258.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 464.54 = 172.73 : x
  2. Step 2: Convert to fraction form
    310.23/464.54 = 172.73/x
  3. Step 3: Cross multiply
    310.23x = 464.54 × 172.73
  4. Step 4: Simplify right side
    310.23x = 80,240.29
  5. Step 5: Solve for x
    x = 80,240.29/310.23
  6. Step 6: Final answer
    x = 258.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.