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Finding the Fourth Proportional to 178.44, 244.30 and 172.30

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Solution

The fourth proportional to 178.44, 244.30 and 172.30 is: 235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 244.30 = 172.30 : x
  2. Step 2: Convert to fraction form
    178.44/244.30 = 172.30/x
  3. Step 3: Cross multiply
    178.44x = 244.30 × 172.30
  4. Step 4: Simplify right side
    178.44x = 42,092.89
  5. Step 5: Solve for x
    x = 42,092.89/178.44
  6. Step 6: Final answer
    x = 235.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.