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Finding the Fourth Proportional to 172.10, 256.62 and 164.58

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Solution

The fourth proportional to 172.10, 256.62 and 164.58 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 256.62 = 164.58 : x
  2. Step 2: Convert to fraction form
    172.10/256.62 = 164.58/x
  3. Step 3: Cross multiply
    172.10x = 256.62 × 164.58
  4. Step 4: Simplify right side
    172.10x = 42,234.52
  5. Step 5: Solve for x
    x = 42,234.52/172.10
  6. Step 6: Final answer
    x = 245.41

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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.