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Finding the Fourth Proportional to 172.31, 237.80 and 106.86

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Solution

The fourth proportional to 172.31, 237.80 and 106.86 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.31 : 237.80 = 106.86 : x
  2. Step 2: Convert to fraction form
    172.31/237.80 = 106.86/x
  3. Step 3: Cross multiply
    172.31x = 237.80 × 106.86
  4. Step 4: Simplify right side
    172.31x = 25,411.58
  5. Step 5: Solve for x
    x = 25,411.58/172.31
  6. Step 6: Final answer
    x = 147.47

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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.