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Finding the Fourth Proportional to 263.87, 395.55 and 172.64

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Solution

The fourth proportional to 263.87, 395.55 and 172.64 is: 258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.87 : 395.55 = 172.64 : x
  2. Step 2: Convert to fraction form
    263.87/395.55 = 172.64/x
  3. Step 3: Cross multiply
    263.87x = 395.55 × 172.64
  4. Step 4: Simplify right side
    263.87x = 68,285.77
  5. Step 5: Solve for x
    x = 68,285.77/263.87
  6. Step 6: Final answer
    x = 258.79

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