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Finding the Fourth Proportional to 172.14, 237.38 and 127.88

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Solution

The fourth proportional to 172.14, 237.38 and 127.88 is: 176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.14 : 237.38 = 127.88 : x
  2. Step 2: Convert to fraction form
    172.14/237.38 = 127.88/x
  3. Step 3: Cross multiply
    172.14x = 237.38 × 127.88
  4. Step 4: Simplify right side
    172.14x = 30,356.15
  5. Step 5: Solve for x
    x = 30,356.15/172.14
  6. Step 6: Final answer
    x = 176.35

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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.