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Finding the Fourth Proportional to 172.48, 237.94 and 106.06

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Solution

The fourth proportional to 172.48, 237.94 and 106.06 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 237.94 = 106.06 : x
  2. Step 2: Convert to fraction form
    172.48/237.94 = 106.06/x
  3. Step 3: Cross multiply
    172.48x = 237.94 × 106.06
  4. Step 4: Simplify right side
    172.48x = 25,235.92
  5. Step 5: Solve for x
    x = 25,235.92/172.48
  6. Step 6: Final answer
    x = 146.31

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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.