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Finding the Fourth Proportional to 243.22, 366.26 and 175.21

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Solution

The fourth proportional to 243.22, 366.26 and 175.21 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.22 : 366.26 = 175.21 : x
  2. Step 2: Convert to fraction form
    243.22/366.26 = 175.21/x
  3. Step 3: Cross multiply
    243.22x = 366.26 × 175.21
  4. Step 4: Simplify right side
    243.22x = 64,172.68
  5. Step 5: Solve for x
    x = 64,172.68/243.22
  6. Step 6: Final answer
    x = 263.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.