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Finding the Fourth Proportional to 172.44, 237.88 and 102.45

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Solution

The fourth proportional to 172.44, 237.88 and 102.45 is: 141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 237.88 = 102.45 : x
  2. Step 2: Convert to fraction form
    172.44/237.88 = 102.45/x
  3. Step 3: Cross multiply
    172.44x = 237.88 × 102.45
  4. Step 4: Simplify right side
    172.44x = 24,371.97
  5. Step 5: Solve for x
    x = 24,371.97/172.44
  6. Step 6: Final answer
    x = 141.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.