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Finding the Fourth Proportional to 263.26, 394.94 and 172.06

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Solution

The fourth proportional to 263.26, 394.94 and 172.06 is: 258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 394.94 = 172.06 : x
  2. Step 2: Convert to fraction form
    263.26/394.94 = 172.06/x
  3. Step 3: Cross multiply
    263.26x = 394.94 × 172.06
  4. Step 4: Simplify right side
    263.26x = 67,953.38
  5. Step 5: Solve for x
    x = 67,953.38/263.26
  6. Step 6: Final answer
    x = 258.12

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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.