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Finding the Fourth Proportional to 172.06, 237.45 and 106.55

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Solution

The fourth proportional to 172.06, 237.45 and 106.55 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.06 : 237.45 = 106.55 : x
  2. Step 2: Convert to fraction form
    172.06/237.45 = 106.55/x
  3. Step 3: Cross multiply
    172.06x = 237.45 × 106.55
  4. Step 4: Simplify right side
    172.06x = 25,301.29
  5. Step 5: Solve for x
    x = 25,301.29/172.06
  6. Step 6: Final answer
    x = 147.05

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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.