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Finding the Fourth Proportional to 172.62, 257.49 and 172.08

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Solution

The fourth proportional to 172.62, 257.49 and 172.08 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.62 : 257.49 = 172.08 : x
  2. Step 2: Convert to fraction form
    172.62/257.49 = 172.08/x
  3. Step 3: Cross multiply
    172.62x = 257.49 × 172.08
  4. Step 4: Simplify right side
    172.62x = 44,308.88
  5. Step 5: Solve for x
    x = 44,308.88/172.62
  6. Step 6: Final answer
    x = 256.68

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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.