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Finding the Fourth Proportional to 208.89, 312.03 and 172.44

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Solution

The fourth proportional to 208.89, 312.03 and 172.44 is: 257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.89 : 312.03 = 172.44 : x
  2. Step 2: Convert to fraction form
    208.89/312.03 = 172.44/x
  3. Step 3: Cross multiply
    208.89x = 312.03 × 172.44
  4. Step 4: Simplify right side
    208.89x = 53,806.45
  5. Step 5: Solve for x
    x = 53,806.45/208.89
  6. Step 6: Final answer
    x = 257.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.