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Finding the Fourth Proportional to 172.44, 257.46 and 156.78

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Solution

The fourth proportional to 172.44, 257.46 and 156.78 is: 234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.44 : 257.46 = 156.78 : x
  2. Step 2: Convert to fraction form
    172.44/257.46 = 156.78/x
  3. Step 3: Cross multiply
    172.44x = 257.46 × 156.78
  4. Step 4: Simplify right side
    172.44x = 40,364.58
  5. Step 5: Solve for x
    x = 40,364.58/172.44
  6. Step 6: Final answer
    x = 234.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.