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Finding the Fourth Proportional to 173.12, 257.85 and 172.22

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Solution

The fourth proportional to 173.12, 257.85 and 172.22 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.12 : 257.85 = 172.22 : x
  2. Step 2: Convert to fraction form
    173.12/257.85 = 172.22/x
  3. Step 3: Cross multiply
    173.12x = 257.85 × 172.22
  4. Step 4: Simplify right side
    173.12x = 44,405.64
  5. Step 5: Solve for x
    x = 44,405.64/173.12
  6. Step 6: Final answer
    x = 256.51

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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.