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Finding the Fourth Proportional to 172.70, 259.10 and 165.22

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Solution

The fourth proportional to 172.70, 259.10 and 165.22 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.70 : 259.10 = 165.22 : x
  2. Step 2: Convert to fraction form
    172.70/259.10 = 165.22/x
  3. Step 3: Cross multiply
    172.70x = 259.10 × 165.22
  4. Step 4: Simplify right side
    172.70x = 42,808.50
  5. Step 5: Solve for x
    x = 42,808.50/172.70
  6. Step 6: Final answer
    x = 247.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.