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Finding the Fourth Proportional to 172.76, 238.48 and 106.40

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Solution

The fourth proportional to 172.76, 238.48 and 106.40 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.76 : 238.48 = 106.40 : x
  2. Step 2: Convert to fraction form
    172.76/238.48 = 106.40/x
  3. Step 3: Cross multiply
    172.76x = 238.48 × 106.40
  4. Step 4: Simplify right side
    172.76x = 25,374.27
  5. Step 5: Solve for x
    x = 25,374.27/172.76
  6. Step 6: Final answer
    x = 146.88

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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.