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Finding the Fourth Proportional to 178.83, 247.94 and 172.83

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Solution

The fourth proportional to 178.83, 247.94 and 172.83 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.83 : 247.94 = 172.83 : x
  2. Step 2: Convert to fraction form
    178.83/247.94 = 172.83/x
  3. Step 3: Cross multiply
    178.83x = 247.94 × 172.83
  4. Step 4: Simplify right side
    178.83x = 42,851.90
  5. Step 5: Solve for x
    x = 42,851.90/178.83
  6. Step 6: Final answer
    x = 239.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.