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Finding the Fourth Proportional to 263.72, 395.50 and 172.20

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Solution

The fourth proportional to 263.72, 395.50 and 172.20 is: 258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 395.50 = 172.20 : x
  2. Step 2: Convert to fraction form
    263.72/395.50 = 172.20/x
  3. Step 3: Cross multiply
    263.72x = 395.50 × 172.20
  4. Step 4: Simplify right side
    263.72x = 68,105.10
  5. Step 5: Solve for x
    x = 68,105.10/263.72
  6. Step 6: Final answer
    x = 258.25

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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.